Home Page: B.-W. Schulze 

Head of the research group

"Partial Differential Equations and Singular Analysis"

 

·                    Institute Address

·                    Universität Potsdam

·                    Institut für Mathematik

·                    Am Neuen Palais 10

·                    D-14469 Potsdam

·                    Germany

·                    e- mail : schulze@math.uni-potsdam.de

Phone ( institute ): 49-(0)331-977-1846

FAX ( institute ): 49-(0)331-977-1440

 

·                    WWW : http://www.math.uni-potsdam.de/~schulze/ file:/home/schulze/public_html/index.html

 

·                    Office

Building 8, Room 1.16

 

Kopierkultur

 

·                    Seminars of the research group

·                    Partial Differential Equations

·                    Arbeitsgruppenreport

Curriculum Vitae

26.02.1944 born in Erfurt

1963-1968 Study of Geophysics and Mathematics at the University of Leipzig

1970 Thesis: Dr.rer.nat. at the University of Rostock

1974 Habilitation at the University of Rostock

1975 head of the research group "Partial Differential Equations" at the Institute for Mathematics and Mechanics, later at the Karl-Weierstrass- Institute of the Academy of Sciences of Berlin

1980 Professor for Analysis at the Karl-Weierstrass-Institute for Mathematics of the Academy of Sciences of Berlin

1981 Medal of the Mathematical Society

1984 Euler Medal of the Academy of Sciences of Berlin

1990-1991 Head of the Department "Pure Mathematics" of the Karl-Weierstrass- Institute, Academy of Sciences of Berlin

1992-1996 Head of the Max-Planck-research group "Partial Differential Equations and Complex Analysis" at the University of Potsdam

1994 Professor for Analysis at the University of Potsdam

2004 Doctor Honoris Causa of the I. Vekua Institute of Applied Mathematics of the Tbilisi State University

Supervised Ph.D. Dissertations

1978 U. Pillat: "Elliptische Randwert-Probleme für Pseudodifferentialkomplexe über berandeten Mannigfaltigkeiten". Karl-Weierstrass-Institut Berlin, 1978.

1978 S. Rempel: "Eine analytische Indexformel für elliptische Randwertprobleme für Pseudodifferentialoperatoren auf Mannigfaltigkeiten mit Rand". Karl-Weierstrass-Institut Berlin, 1978.

1980 A. Juhl: "Über die Lösbarkeit, die Regularität und den Index innerer Randwert-Probleme für entartete elliptische Pseudodifferentialoperatoren". Karl-Weierstrass-Institut Berlin, 1980.

1982 W. Höppner (Habilitation): "Der Index G-invarianter elliptischer Randwert-Probleme". Karl-Weierstrass-Institut Berlin, 1982.

1983 S. Rempel (Habilitation): "Gemischte Randwert-Probleme und Kopplungsprobleme für elliptische Pseudodifferentialoperatoren". Karl-Weierstrass-Institut Berlin, 1983.

1986 T. Schmitt: "Zur Differentialgeometrie von Supermannigfaltigkeiten". Karl- Weierstrass-Institut Berlin 1986.

1995 S. Behm: "Pseudo-Differential Operators with Parameters on Manifolds with Edges". Max-Planck Arbeitsgruppe "Partielle Differentialgleichungen und Komplexe Analysis"; Universität Potsdam, 1995.

1996 Ch. Dorschfeldt: "An Algebra of Mellin Pseudo-Differential Operators near Corner Singularities". Max-Planck Arbeitsgruppe "Partielle Differentialgleichungen und Komplexe Analysis"; Universität Potsdam, 1996.

1996 T. Buchholz: "Parabolische Pseudodifferentialoperatoren mit operatorwertigen Symbolen". Max-Planck Arbeitsgruppe "Partielle Differentialgleichungen und Komplexe Analysis"; Universität Potsdam, 1996.

1998 J. Seiler: "Pseudodifferential Operators on Manifoldes with Non-compact Edges". Max-Planck Arbeitsgruppe "Partielle Differentialgleichungen und Komplexe Analysis"; Universität Potsdam 1998 (jointly supervised with E. Schrohe).

1998 J. Gil: "Heat Trace Asymptotics for Cone Differential Operators". Max-Planck Arbeitsgruppe "Partielle Differentialgleichungen und Komplexe Analysis"; Universität Potsdam 1998 (jointly supervised with E. Schrohe).

2000 U. Grieme: "Pseudo-differential Operators with Operator-valued Symbols on Non-compact Manifolds". Max-Planck Arbeitsgruppe "Partielle Differentialgleichungen und Komplexe Analysis"; Universität Potsdam 2000.

2000 M. Gerisch: "Doubly Weighted Degenerate Pseudodifferential Operators on Non-compact Domains"; Universität Potsdam 2000.

2000 Liu Xiaochun (Wuhan, China): "A Cone Pseudo-differential Calculus on the Half-line with respect to Conormal Asymptotics of a Given Type"; (jointly supervised with Chen Hua, Wuhan, China and I. Witt, Potsdam). P.R. China, Wuhan 2000.

2000 T. Krainer: "Parabolic Pseudodifferential Operators and Long-time Asymptotics of Solutions"; Universität Potsdam 2000.

2003 D. Kapanadze (Tbilisi, Georgia): "Boundary Value Problems in Crack Configurations, and Asymptotics of Solutions"; (jointly supervised with R. Duduchava, Tbilisi, Georgia).

2003 M. Mikayelyan (Jerewan, Armenia): "Parabolic Boundary and Transmission Problems"; Universität Potsdam, 2003 (jointly supervised with T. Krainer, Potsdam).

2004 N. Romanovskii (Novosibirsk, Russia): "Systems of Elasticity Theory"; Universität Potsdam, 2004 (jointly supervised with N. Tarkhanov, Potsdam).

2005 A. Volpato (Torino, Italy): "Green Operators in the Calculus on Manifolds with Edges"; University of Torino 2005 (jointly supervised with L. Rodino, Torino).

2006 C. I. Martin (Cluj, Romania): "Operator Algebras and Complexes of Operators on Manifolds with Corners"; Universität Potsdam 2006.

2006 N. Dines (Cluj, Romania): "Elliptic Operators on Corner Manifolds"; Universität Potsdam 2006.

2008 Wei Yawei (Shanghai, P.R. China): "Operators on Manifolds with Edge and Boundary with Singular Trace Conditions"; Universität Potsdam 2008.

2010 Jamil Abed (Aleppo, Syria): "An Iterative Approach to Operators on Manifolds with Singularities"; Universität Potsdam 2010.

2013 Wannarut Rungrottheera (Bangkok, Thailand): “Corner Pseudo-differential Operators”; Universität Potsdam 2013.  

2013 Nadia Habal (Tripolis, Libya): “Operators on Singular Manifolds”; Universität Potsdam 2013.  

 

Current Ph.D. Students

Mohammad Pirhayati (Iran): “Boundary value problems without the transmission property”;  (working title).

Lyu Xiaojing (Tianjin, China): “Higher Corner Operators”; (working title).

Mahdi Hedayat Mahmudi (Iran): “Variable branching asymptotics on singular manifolds”; (working title).

Monographs

1. B.-W. Schulze, G. Wildenhain. Methoden der Potentialtheorie für elliptische Differentialgleichungen beliebiger Ordnung. Akademie-Verlag, Berlin 1977; Birkhäuser Verlag, Basel, 1977.

2. S. Rempel and B.-W. Schulze. Index Theory of Elliptic Boundary Problems. Akademie- Verlag Berlin, 1982; North Oxford Acad. Publ. Comp., Oxford, 1985. (Transl. to Russian: Mir, Moscow, 1986).

3. S. Rempel and B.-W. Schulze. Asymptotics for Elliptic Mixed Boundary Problems; Pseudo-Differential and Mellin Operators in Spaces with Conormal Singularity. Math. Research. vol. 50. Akademie-Verlag, Berlin, 1989.

4. B.-W. Schulze. Pseudo-Differential Operators on Manifolds with Singularities. North-Holland, Amsterdam, 1991.

5. B.-W. Schulze. Pseudo-Differential Boundary Value Problems, Conical Singularities, and Asymptotics. Akademie Verlag,

Berlin, 1994.

6. Ju.V. Egorov and B.-W. Schulze. Pseudo-Differential Operators, Singularities, Applications. Birkhäuser Verlag, Basel, 1997.

7. B.-W. Schulze. Boundary Value Problems and Singular Pseudo-Differential Operators. J. Wiley, Chichester, 1998.

8. B.-W. Schulze, B. Sternin, and V. Shatalov. Differential Equations on Singular Manifolds; Semiclassical Theory and Operator Algebras. Wiley-VCH, Berlin, 1998.

9. V. E. Nazainkinskii, B.-W. Schulze, and B. Yu. Sternin. Quantization Methods in Differential Equations. Taylor & Francis, London and New York, 2002.

10. D. Kapanadze and B.-W. Schulze. Crack Theory and Edge Singularities. Kluwer Academic Publishers, Dordrecht, 2003.

11. V. E. Nazaikinskii, A. Yu. Savin, B.-W. Schulze, and B. Yu. Sternin. Elliptic Theory on Singular Manifolds. Taylor & Francis, London and New York, 2005.

12. G. Harutyunyan and B.-W. Schulze. Elliptic Mixed, Transmission, and Singular Crack Problems. EMS Tracts in Mathematics Vol.4, European Math. Soc. Publ. House Zürich, 2007.

13. B.-W. Schulze,  Erlebnisse an Grenzen – Grenzerlebnisse mit der Mathematik, Birkh\" auser, Basel, 2013.

14. V. E. Nazaikinskii, B.-W. Schulze, and B. Yu. Sternin. The Localization Problem in Index Theory of Elliptic Operators, Pseudo-Differential Operators - Theory and Applications, 10 Birkh\" auser, Basel, 2013. www.birkhauser-science.com/978-3-0348-0509-4

 

http://www.ems-ph.org/book.php?proj_nr=64&searchterm=

15. W. Bauer and.-W. Schulze. Operators on Corner Manifolds. (in preparation).

16. B.-W. Schulze, Variable Discrete and Continuous Asymptotics on Manifolds with Edges. (in preparation).

17. X. Liu, and B.-W. Schulze. Operators with Global Projection Conditions on Manifolds with Edge and Boundary. (in preparation).

Editorial Activities

Member of the Editorial (or Advisary) Boards of the following Journals or Series of Books:

Journals: 

"Mathematische Nachrichten" (Wiley-VCH)

"Journal of Pseudo-Differential Operators and Applications" ( Birkhäuser )

"International Journal of Pure and Applied Mathematics" (Academic Publications)

 

 

Series of Books:

"Operator Theory: Advances and Applications" (Birkhäuser)

"Pseudodifferential Operators, Theory and Applications" (Birkhäuser)

"Series on Analysis, Applications and Computation" (World Scientific)

Editing of Books

 

1. B.-W. Schulze and H. Triebel (eds.). Seminar Analysis of the Karl-Weierstrass-Institute 1985/86. Teubner-Texte zur Mathematik, vol. 96. BSB Teubner, Leipzig, 1987.

2. B.-W. Schulze and H. Triebel (eds.). Seminar Analysis of the Karl-Weierstrass-Institute 1986/87. Teubner-Texte zur Mathematik, vol. 106. BSB Teubner, Leipzig, 1988.

3. B.-W. Schulze and H. Triebel (eds.). Symp. "Partial Differential Equations" Holzhau 1988. Teubner-Texte zur Mathematik, vol. 112. BSB Teubner, Leipzig, 1989.

4 . B.-W. Schulze and H. Triebel (eds.). Surveys on Analysis, Geometry and Mathematical Physics. Teubner-Texte zur Mathematik, vol. 117. BSB Teubner, Leipzig, 1990.

5. B.-W. Schulze and H. Triebel (eds.). Symp. "Analysis on Manifolds with Singularities", Breitenbrunn 1990. Teubner-Texte zur Mathematik, vol. 131. BSB Teubner, Leipzig, 1992.

6. M. Demuth, B. Gramsch, and B.-W. Schulze (eds.). Operator Calculus and Spectral Theory. Operator Theory: Advances and Applications, vol.57. Birkhäuser, Basel, Boston, Berlin, 1992.

7. G. Lumer, S. Nicaise, and B.-W. Schulze (eds.). Partial Differential Equations; Models in Physics and Biology. Math. Research, vol. 82. Akademie Verlag, Berlin, 1994.

8. M. Demuth and B.-W. Schulze (eds.). Partial Differential Operators and Mathematical Physics. Operator Theory: Advances and Applications, vol.78. Birkhäuser, Basel, Boston, Berlin, 1994.

9. M. Demuth and B.-W. Schulze (eds.). Differential Equations, Asymptotic Analysis, and Mathematical Physics. Math. Research, vol. 100. Akademie Verlag, Berlin, 1997.

10. M. Demuth, E. Schrohe, and B.-W. Schulze (eds.). Advances in Partial Differential Equations . "Pseudo-Differential Calculus and Mathematical Physics". Akademie Verlag, Berlin, 1994.

11. M. Demuth, E. Schrohe, and B.-W. Schulze (eds.). Advances in Partial Differential Equations . "Boundary Value Problems, Schrödinger Operators, Deformation Quantization". Akademie Verlag, Berlin, 1995.

12. M. Demuth, E. Schrohe, B.-W. Schulze, and J. Sjöstrand (eds.). Advances in Partial Differential Equations . "Schrödinger Operators, Markov Semigroups, Wavelet Analysis, Operator Algebras". Akademie Verlag, Berlin, 1996.

13. M. Demuth, E. Schrohe, B.-W. Schulze, and J. Sjöstrand (eds.). Advances in Partial Differential Equations . "Spectral Theory, Microlocal Analysis, Singular Manifolds". Akademie Verlag, Berlin, 1997.

14. M. Demuth, E. Schrohe, B.-W. Schulze, and J. Sjöstrand (eds.). Advances in Partial Differential Equations . "Evolution Equations, Feshbach Resonances, Singular Hodge Theory". Wiley-VCH, Weinheim, 1999.

15. S. Albeverio, M. Demuth, E. Schrohe, and B.-W. Schulze (eds.). Advances in Partial Differential Equations . "Parabolicity, Volterra Calculus, and Conical Singularities". Vol. 138 in "Operator Theory, Adv. and Appl.", Birkhäuser, Basel, 2002.

16 . S. Albeverio, M. Demuth, E. Schrohe, and B.-W. Schulze (eds). Advances in Partial Differential Equations . "Nonlinear Hyperbolic Equations, Spectral Theory, and Wafelet Transformations". Vol. 145 in "Operator Theory, Adv. and Appl.", Birkhäuser, Basel, 2003.

17. M. Reissig, and B.-W. Schulze (eds). Advances in Partial Differential Equations . "New Trends in the Theory of Hyperbolic Equations ". Vol. 159 in "Operator Theory, Adv. and Appl.", Birkhäuser, Basel, 2005.

18 . L. Rodino, B.-W. Schulze, and M.W. Wong (eds). Pseudo-Differential Operators: Partial Differential Equations and Time-Frequency Analysis " Fields Institute Communications " American Mathematical Society, Toronto, 2007.

List of Publications

1. B.-W. Schulze. Potentiale bei der Wellengleichung und Charakterisierung der Mengen der Kapazität Null. In: "Elliptische Differentialgleichungen I", Schriftenreihe der Institute für Mathematik, Reihe A, Heft 7 , 137-157, Akademie-Verlag, Berlin, 1970.

2. B.-W. Schulze. Mengen der Kapazität Null für nicht-elliptische Differentialgleichungen; das Dirichlet-Problem für die Wellengleichung. In: "Elliptische Differentialgleichungen II", Schriftenreihe der Institute für Mathematik, Reihe A, Heft 8 , 217-246, Akademie-Verlag, Berlin, 1971.

3. B.-W. Schulze. Bemerkungen über das Dirichlet-Problem für die Wellengleichung. Math. Nachr. 56 (1973), 189-194.

4. B.-W. Schulze, Über a priori-Abschätzungen in Normen gleichmässiger Konvergenz für stark elliptische Systeme. (Russ.) Sib. Mat. J. 16, 2 (1975), 384-394.

5. B.-W. Schulze. Über das inverse Problem beim Laplace-Operator. Math. Nachr. 67 (1975), 225-235.

6. B.-W. Schulze. Abschätzungen in Normen gleichmässiger Konvergenz für elliptische Randwertprobleme. Math. Nachr. 67 (1975), 303-315.

7. B.-W. Schulze. On the potentials for elliptic equations of higher orders and inverse problems. (Russ.) Diff. Uravn. 12, 1 (1976), 148-158.

8. B.-W. Schulze. Potentialtheoretische Grundlagen eines inversen Problems der Geophysik. Gerlands Beitr. zur Geophysik 85, 1 (1976), 21-25.

9. B.-W. Schulze. On the set of all elliptic boundary value problems for an elliptic pseudo-differential operator on a manifold. Math. Nachr. 75 (1976), 271-282.

10. B.-W. Schulze. Elliptic operators on manifolds with boundary. Proc. Workshop "Globale Analysis, Ludwigsfelde", Berlin 1976.

11. B.-W. Schulze. On the inverse problem for elliptic equations of higher orders. (Russ.) Diff. Uravn. 13, 12 (1977), 2265-2271.

12. B.-W. Schulze. Interpretation of an inverse problem of geophysics by the potential theory. Gerlands Beitr. zur Geophysik 86, 4 (1977), 291-302.

13. B.-W. Schulze and G. Wildenhain. Methoden der Potentialtheorie für elliptische Differentialgleichungen beliebiger Ordnung. Monographie, Akademie-Verlag, Berlin 1977; Birkhäuser Verlag, Basel, 1977.

14. B.-W. Schulze. Elliptic boundary value problems for operators of special form. (Russ.) Diff. Uravn. 14, 1 (1978), 148-159.

15. B.-W. Schulze. Multiplicative properties of elliptic boundary value problems. Lecture Notes in Math., vol. 743, pp. 581-588, Springer, 1979.

16. B.-W. Schulze. On overdetermined and underdetermined elliptic problems. (Russ.) Diff. Uravn. 15 , 2 (1979), 323-328.

17. B.-W. Schulze. Über eine Verheftung elliptischer Randwertprobleme. Math. Nachr. 93 (1979), 205-222.

18. B.-W. Schulze. Adjungierte elliptischer Randwert-Probleme und Anwendungen auf über- und unterbestimmte Systeme. Math. Nachr. 89 (1979), 225-245.

19. U. Pillat and B.-W. Schulze. Elliptische Randwertprobleme für Komplexe von Pseudodifferentialoperatoren. Math. Nachr. 94 (1980), 173-210.

20. B.-W. Schulze. Some classes of non-elliptic boundary value problems for pseudo-differential operators I. Math. Nachr. 95 (1980), 327-350.

21. U. Pillat and B.-W. Schulze. Some classes of non-elliptic boundary value problems for pseudo-differential operators II; overdetermined and underdetermined systems. Comm. Part. Diff. Equ. 6, 4 (1981), 373-398.

22. S. Rempel and B.-W. Schulze. Resolvents of boundary problems for pseudo-differential operators without the transmission property. Proc. Jounees "Equ. aux Deriv. Partielles", St. Jean de Monts 1982, Conf. No. XX.

23. S. Rempel and B.-W. Schulze. Parametrices and boundary symbolic calculus for ellipic boundary problems without the transmission property. Math. Nachr. 105 (1982), 45-149.

24. S. Rempel and B.-W. Schulze. Index Theory of Elliptic Boundary Problems. Monograph , Akademie-Verlag Berlin, 1982; North Oxford Acad. Publ. Comp., Oxford, 1985. (Transl. to Russian: Mir, Moscow, 1986).

25. B. Booss and B.-W. Schulze. Index theory and elliptic boundary value problems, remarks and open problems. Partial Diff. Equ., Banach Center Publ. vol. 10, pp. 33-57. Polish Sc. Publ., Warszaw 1983.

26. B.-W. Schulze. Adjoints of elliptic boundary value problems. Partial Diff. Equ., Banach Center Publ. vol. 10, pp. 353-359. Polish Sc. Publ., Warszaw 1983.

27. B.-W. Schulze. Pseudo-differential boundary problems with discontinuous symbols. Math. Nachr. 110 (1983), 263-277.

28. B.-W. Schulze. Pseudo-differential boundary problems with discontinuous symbols. Math. Nachr. 110 (1983), 263-277.

29. S. Rempel and B.-W. Schulze. Complex powers for pseudo-differential boundary problems I. Math. Nachr. 111 (1983), 41-109.

30. S. Rempel and B.-W. Schulze. Complex powers for pseudo-differential boundary problems II. Math. Nachr. 116 (1984), 269-314.

31. S. Rempel and B.-W. Schulze. A theory of pseudo-differential boundary value problems with discontinuous conditions I. Ann. Glob. Anal. Geom. 2, 2 (1984), 163-251.

32. S. Rempel and B.-W. Schulze. A theory of pseudo-differential boundary value problems with discontinuous conditions II. Ann. Glob. Anal. Geom. 2, 3 (1984), 289-384.

33. S. Rempel and B.-W. Schulze. Complete Mellin symbols and the conormal asymptotics in boundary value problems. Proc. Jounees "Equ. aux Deriv. Partielles", St. Jean de Monts 1984, Conf. No. V.

34. S. Rempel and B.-W. Schulze. Mixed boundary value problems for Lame's system in three dimensions. Math. Nachr. 119 (1984), 265-290.

35. S. Rempel and B.-W. Schulze. Mellin symbolic calculus and asymptotics for boundary value problems. Seminar Analysis 1984/85.

Karl-Weierstrass-Institut für Mathematik, Berlin 1985, pp. 23-72.

36. B.-W. Schulze. Degenerate boundary value problems for parabolic pseudo-differential operators. Math. Nachr. 121 (1985), 71-106.

37. B.-W. Schulze. Operateurs pseudo-differentiels et asymptotique sur des varietes a singularites. Sem. "Equ. aux Deriv. Part." 1985-1986, Ecole Polytechnique, Exp. III, Nov. 1985.

38. B.-W. Schulze. L'asymptotique conormale sur des varietes avec singularites ou aretes. Univ. de Nantes, Departement de Mathematiques et d'Inf., Seminaire "Equ. aux Deriv. Part." 1985-1986, pp. 257-288.

39. S. Rempel and B.-W. Schulze. Complete Mellin and Green symbolic calculus in spaces with conormal asymptotics. Ann. Glob. Anal. Geom. 4, 2 (1986), 137-224.

40. S. Rempel and B.-W. Schulze. Branching of asymptotics for elliptic operators on manifolds with edges. Proc. "Partial Differential Equations" 1984, Banach Center Publ. vol. 19, pp. 231-236, PWN Polish Scientific Publishers, Warsaw, 1987.

41. B.-W. Schulze. Mellin expansions of pseudo-differential operators and conormal asymptotics of solutions. In: "Pseudo-Differential Operators". Lecture Notes in Math., vol. 1256, pp. 378-401, Springer 1987.

42. B.-W. Schulze. Elliptic complexes on manifolds with conical singularities. In: "Seminar Analysis of the Karl-Weierstrass-Institute 1986/87". Teubner-Texte zur Mathematik, vol. 106, pp. 170-223. B.G. Teubner Verlagsgesellschaft, Leipzig 1988.

43. B.-W. Schulze. Ellipticity and continuous conormal asymptotics on manifolds with conical singularities. Math. Nachr. 136 (1988), 7-57.

44. B.-W. Schulze. Regularity with continuous and branching asymptotics for elliptic operators on manifolds with edges. Integral Equ. and Operator Theory, 11 (1988), 557-602.

45. S. Rempel and B.-W. Schulze. Asymptotics for Elliptic Mixed Boundary Problems; Pseudo-differential and Mellin Operators in Spaces with Conormal Singularity. Monograph , Math. Research, vol. 50. Akademie-Verlag, Berlin, 1989.

46. B.-W. Schulze. Topologies and invertibility in operator spaces with symbolic structures. In: "Probleme und Methoden der Math. Physik". Teubner Texte zur Mathematik, vol. 111, pp. 257-270. B.G. Teubner Verlagsgesellschaft, Leipzig 1989.

47. B.-W. Schulze. Pseudo-differential operators on manifolds with edges. In: Symp."Partial Differential Equations" Holzhau 1988. Teubner Texte zur Mathematik, vol. 112, pp. 259-287. B.G. Teubner Verlagsgesellschaft, Leipzig 1989.

48. B.-W. Schulze. Corner Mellin operators and reduction of orders with parameters. Ann. Scuola Norm. Sup. Pisa, Cl. Sci., 16, 1 (1989), 1-81.

49. B.-W. Schulze. Elliptic regularity with continuous and branching edge asymptotics. In: "Multivariate Approximation and Interpolation". Int. Series of Numer. Math., vol. 94, pp. 275-284. Birkhäuser, Basel, 1990.

50. B.-W. Schulze. Corner Mellin operators and conormal asymptotics. Sem. "Equ. aux Deriv. Part." 1990-1991, Ecole Polytechnique, Exp. XII, Mars 1991.

51. B.-W. Schulze. Mellin representations of pseudo-differential operators on manifolds with corners. Ann. Glob. Anal. Geom. 8, 3 (1990), 261-297.

52. B.-W. Schulze. Pseudo-differential Operators on Manifolds with Singularities. Monograph , North-Holland, Amsterdam, 1991.

53. B.-W. Schulze. Crack problems in the edge pseudo-differential calculus. Appl. Anal. 45 (1992), 333-360.

54. M. Lorenz and B.-W. Schulze. Propagation of branching conormal asymptotics for hyperbolic Cauchy problems . In: Symp. "Analysis in Domains and on Manifolds with Singularities" Breitenbrunn 1990. Teubner Texte zur Mathematik, vol. 131 , pp. 104-117. B.G. Teubner Verlagsgesellschaft, Leipzig 1992.

55. B.-W. Schulze. The Mellin pseudo-differential calculus on manifolds with corners. In: Symp. "Analysis in Domains and on Manifolds with Singularities" Breitenbrunn 1990. Teubner Texte zur Mathematik, vol. 131 , pp. 208-289. B.G. Teubner Verlagsgesellschaft, Leipzig 1992.

56. B.-W. Schulze. The variable discrete asymptotics of solutions of singular boundary value problems. In: Symp. "Operator Calculus and Spectral Theory". Series "Operator Theory: Advances and Applications", vol. 57, pp. 271-289. Birkhäuser, Basel, 1992.

57. B.-W. Schulze. Pseudo-differential Boundary Value Problems, Conical Singularities, and Asymptotics. Monograph, Akademie Verlag, Berlin, 1994.

58. Ch. Dorschfeldt and B.-W. Schulze. Pseudo-differential operators with operator-valued symbols in the Mellin-edge-approach. Ann. Glob. Anal. Geom. 12, 2 (1994), 135-171.

59. B.-W. Schulze, B. Sternin, and V. Shatalov. Resurgent analysis and differential equations with singularities. In: Math. Research, vol. 82, "Partial Differential Equations; Models in Physics and Biology", pp. 401-418. Akademie Verlag, Berlin, 1994.

60. B.-W. Schulze. Pseudo-differential operators, ellipticity, and asymptotics on manifolds with edges. In: Math. Research, vol. 82, "Partial Differential Equations; Models in Physics and Biology", pp. 290-328. Akademie Verlag, Berlin, 1994.

61. E. Schrohe and B.-W. Schulze. Mellin quantization in the cone calculus for Boutet de Monvel's algebra. In: Operator Theory, Advances and Applications, vol. 78, "Partial Differential Operators and Mathematical Physics", pages 299-319. Birkhäuser, Basel, 1994.

62. B.-W. Schulze. Transmission algebras on singular spaces with components of different dimensions. In: Operator Theory, Advances and Applications, vol. 78, "Partial Differential Operators and Mathematical Physics", pp. 321-342. Birkhäuser, Basel, 1994.

63. B.-W. Schulze. The variable discrete asymptotics in pseudo-differential boundary value problems I. In: Advances in Partial Differential Equations "Pseudo- Differential Calculus and Mathematical Physics", pp. 9-96. Akademie Verlag, Berlin, 1994.

64. E. Schrohe and B.-W. Schulze. Boundary value problems in Boutet de Monvel's algebra for manifolds with conical singularities I. In: Advances in Partial Differential Equations "Pseudo-Differential Calculus and Mathematical Physics", pp. 97-209. Akademie Verlag, Berlin, 1994.

65. B.-W. Schulze. The variable discrete asymptotics in pseudo-differential boundary value problems II. In: Advances in Partial Differential Equations "Boundary Value Problems, Schrödinger Operators, Deformation Quantization", pp. 9-69. Akademie Verlag, Berlin, 1995.

66. E. Schrohe and B.-W. Schulze. Boundary value problems in Boutet de Monvel's algebra for manifolds with conical singularities II. In: Advances in Partial Differential Equations "Boundary Value Problems, Schrödinger Operators, Deformation Quantization", pp. 70-205. Akademie Verlag, Berlin, 1995.

67. B.-W. Schulze, B. Sternin, and V. Shatalov. Resurgent analysis in the theory of differential equations with singularities. Math. Nachr. 172 (1995), 261-268.

68. B.-W. Schulze and N.N. Tarkhanov. Wedge Sobolev spaces. Preprint MPI 95-122, Max- Planck-Institut, Bonn, 1995. (Published under the title: Coordinate invariance of the wedge Sobolev spaces. In: "Complex Analysis and Differential Equations", University Krasnoyarsk, 207-227, (1996))

69. B.V. Fedosov and B.-W. Schulze. On the index of elliptic operators on a cone. In: Advances in Partial Differential Equations "Schrödinger Operators, Markov Semigroups, Wavelet Analysis, Operator Algebras", pp. 348-372. Akademie Verlag, Berlin, 1996.

70. Ch. Dorschfeldt, U. Grieme, and B.-W. Schulze. Pseudo-differential calculus in the Fourier-edge approach on non-compact manifolds. Preprint MPI 96-79, Max-Planck-Institut, Bonn, 1996. In: Advances in Partial Differential Equations "Spectral Theory, Microlocal Analysis, Singular Manifolds", pp. 249-299. Akademie Verlag, Berlin, 1997.

71. B.-W. Schulze and N.N. Tarkhanov. The index of elliptic operators on manifolds with cusps. In: Math. Research, vol. 100, "Differential Equations, Asymptotic Analysis, and Mathematical Physics", pp. 348-363. Akademie Verlag, Berlin, 1997.

72. B.-W. Schulze, B. Sternin, and V. Shatalov. Structure rings of singularities and differential equations. Preprint MPI 96-140, Max-Planck-Institut, Bonn, 1996. In: Math. Research, vol. 100, "Differential Equations, Asymptotic Analysis, and Mathematical Physics", pp. 325-347. Akademie Verlag, Berlin, 1997.

73. Ju.V. Egorov and B.-W. Schulze. Pseudo-differential Operators, Singularities, Applications. Monograph, Birkhäuser Verlag, Basel, 1997.

74. T. Buchholz and B.-W. Schulze. Anisotropic edge pseudo-differential operators with discrete asymptotics. Math. Nachr. 184 (1997), 73-125.

75. J.B. Gil, B.-W. Schulze, and J. Seiler. Holomorphic operator-valued symbols for edge-degenerate pseudo-differential operators. In Math. Research, vol. 100, "Differential Equations, Asymptotic Analysis, and Mathematical Physics", pp. 113-137. Akademie Verlag, Berlin, 1997.

76. E. Schrohe and B.-W. Schulze. Mellin operators in a pseudodifferential calculus for boundary value problems on manifolds with edges. Preprint MPI 96-74, Max-Planck-Institut, Bonn, 1996. In: IWOTA 95 Proceedings, R. Mennicken, C. Tretter (eds). Operator Theory: Advances and Applications, vol. 102, "Differential and Integral Operators", Birkhäuser, Basel, 1997, pp. 257-285.

77. B.-W. Schulze, B. Sternin and V. Shatalov. On some global aspects of the theory of partial differential equations on manifolds with singularities. Preprint MPI 96-28, Max-Planck-Institut, Bonn, 1996. In: IWOTA 95 Proceedings, R. Mennicken, C. Tretter (eds). Operator Theory: Advances and Applications, vol. 102, "Differential and Integral Operators", Birkhäuser, Basel, 1997, pp. 287-305.

78. E. Schrohe and B.-W. Schulze. A symbol algebra for pseudodifferential boundary value problems on manifolds with edges. In: Math. Research, vol. 100, "Differential Equations, Asymptotic Analysis, and Mathematical Physics", pp. 292-324. Akademie Verlag, Berlin, 1997.

79. B.-W. Schulze. Boundary value problems and edge pseudo-differential operators. In: "Microlocal Analysis and Spectral Theory" (NATO ASI Series C, vol. 490), pp. 165-226. Kluwer Academic Publishers, Dordrecht NL 1997.

80. B.-W. Schulze, B.Ju. Sternin, and V.E. Shatalov. Operator algebras associated with resurgent transforms and differential equations on manifolds with singularities. In: Advances in Partial Differential Equations "Spectral Theory, Microlocal Analysis, Singular Manifolds", vol. 4, pp. 300-333. Akademie Verlag, Berlin, 1997.

81. B.-W. Schulze, B.Ju. Sternin, and V.E. Shatalov. Nonstationary problems for Borel-Fuchs type equations. In: Advances in Partial Differential Equations "Spectral Theory, Microlocal Analysis, Singular Manifolds", pp. 334-364. Akademie Verlag, Berlin, 1997.

82. B.-W. Schulze, B. Sternin, and V. Shatalov. Elliptic equations on manifolds with cusp-type singularities. Russ. Math. Dokl. 362, 4 (1998), 453-455.

83. B.-W. Schulze, B. Sternin, and V. Shatalov. Elliptic operators on manifolds with cuspidal wedges. Russ. Math. Dokl. 363, 1 (1998), 30-33.

84. B.-W. Schulze, B. Sternin, and V. Shatalov. Differential equations on manifolds with singularities in classes of resurgent functions. Preprint MPI 95-88, Max-Planck-Institut, Bonn, 1995. Math. Nachr. 195 (1998), 199-236.

85. B.-W. Schulze and N.N. Tarkhanov. Pseudodifferential calculus on manifolds with singular points. Preprint MPI 96-140, Max-Planck-Institut, Bonn, 1995. Applied Mathematics and Informatics 3 (1998), 24-83.

86. B.V. Fedosov, B.-W. Schulze and N.N. Tarkhanov. On the index of elliptic operators on a wedge. Preprint MPI 96-143, Max-Planck -Institut, Bonn, 1996. J. Funct. Analysis 157, (1998), 164-209.

87. V. Burenkov, B.-W. Schulze, and N.N. Tarkhanov. Extension operators for Sobolev spaces commuting with a given transform. Preprint MPI 96-142, Max-Planck-Institut, Bonn, 1996. Glasgow Math. J. 40 (1998), 289-294.

88. B.-W. Schulze, B. Sternin, and V. Shatalov. An operator algebra on manifolds with cusp type singularities. Preprint MPI 96-111, Max-Planck-Institut, Bonn, 1996. Ann. Glob. Anal. Geom. 16, 2 (1998), 101-140.

89. B.-W. Schulze and N.N. Tarkhanov. Green pseudodifferential operators on manifolds with edges. Preprint MPI 96-162, Max-Planck -Institut, Bonn, 1996. Comm. Part. Diff. Equ. 23, 1-2 (1998), 171-200.

90. B.-W. Schulze, B.Ju. Sternin, and V.E. Shatalov. On the index of differential operators on manifolds with conical singularities. Ann. Glob. Anal. Geom. 16, 2 (1998), 141-172.

91. B.-W. Schulze. Boundary Value Problems and Singular Pseudo-differential Operators. Monograph, J. Wiley, Chichester, 1998.

92. V. Nazaikinskii, B.-W. Schulze, B.Ju. Sternin, and V.E. Shatalov. Spectral boundary value problems and elliptic equations on singular manifolds. Diff. Uravnenija (Russ.), 34, 5 (1998), 695-708.

93. B.-W. Schulze, B.Ju. Sternin, and V.E. Shatalov. On general boundary value problems for elliptic equations. Mat. Sbornik 189, 10 (1998), 145-160. (Engl. transl.: Sbornik: Mathematics 189:10 (1998), 1573-1586).

94. B.-W. Schulze, B.Ju. Sternin, and V.E. Shatalov. Differential equations on singular manifolds; semiclassical theory and operator algebras. Monograph, Wiley-VCH, Berlin, 1998.

95. A. Savin, B.-W. Schulze, and B.Ju. Sternin. On the invariant index formulas for spectral boundary value problems. Diff. Uravn. 35, 5 (1999), 705-714.

96. E. Schrohe and B.-W. Schulze. Mellin and Green symbols for boundary value problems on manifolds with edges. Preprint MPI 96-173, Max-Planck-Institut, Bonn, 1996. Integral Equ. and Operator Theory 34 (1999), 339-363.

97. V. Nazaikinskii, B.-W. Schulze, and B.Ju. Sternin. The index of quantized contact transformations on manifolds with conical singularities. Russ. Math. Dokl. 368, 5 (1999), 598-600.

98. B.-W. Schulze and N.N. Tarkhanov. Singular functions and relative index for elliptic corner operators. Ann. Univ. Ferrara - Sez. VII - Sc. Mat. Suppl. Vol. XLV (1999), 293-310.

99. V. Nazaikinskii, B.-W. Schulze, B.Ju. Sternin, and V.E. Shatalov. Spectral boundary value problems and elliptic equations on manifolds with singularities. Russ. Math. Dokl. 367, 5 (1999), 597-599.

100. B.-W. Schulze, B.Ju. Sternin, and V.E. Shatalov. On the index of elliptic operators on manifolds with conical singularities. Russ. Math. Dokl. 365, 2 (1999), 170-173.

101. V. Nazaikinskii, B.-W. Schulze, B.Ju. Sternin, and V.E. Shatalov. The Atiyah- Bott-Lefschetz formula for elliptic operators on manifolds with conical singularities. Russ. Math. Dokl. 367, 3 (1999), 303-306.

102. V. Nazaikinskii, B.-W. Schulze, B.Ju. Sternin, and V.E. Shatalov. The Atiyah- Bott-Lefschetz theorem on manifolds with conical singularities. Ann. Glob. Anal. Geom. 17 (1999), 409-439.

103. V. Nazaikinskii, B.-W. Schulze, B.Ju. Sternin, and V.E. Shatalov. Quantization of canonical transformations on manifolds with conical singularities. Russ. Math. Dokl. 367, 4 (1999), 447-450.

104. B.V. Fedosov, B.-W. Schulze, and N.N. Tarkhanov. The index of elliptic operators on manifolds with conical points. Selecta mathematica, New ser. 5 (1999), 467-506.

105. B.V. Fedosov, B.-W. Schulze, and N.N. Tarkhanov. On the index formula for singular surfaces. Pacific Journal of Math. 191, 1 (1999), 25-48.

106. B.-W. Schulze, B.Ju. Sternin, and V.E. Shatalov. On boundary value problems for elliptic equations. Russ. Math. Dokl. 367, 1 (1999), 23-25.

107. B.-W. Schulze and N.N. Tarkhanov. The Riemann-Roch theorem for manifolds with conical singularities. Osaka J. Math. 36 (1999), 253-288.

108. B.-W. Schulze and N.N. Tarkhanov. Euler solutions of pseudodifferential equations . Integral Equ. and Operator Theory 33 (1999), 98-123.

109. M. Nacinovich, B.-W. Schulze, and N.N. Tarkhanov. Carleman formulas for the Dolbeault cohomology . Ann. Univ. Ferrara - Sez. VII - Sc. Mat. Suppl. Vol. XLV (1999), 253-262.

110. B.-W. Schulze and N.N. Tarkhanov. Elliptic complexes of pseudodifferential operators on manifolds with edges. In: Advances in Partial Differential Equations "Evolution Equations, Feshbach Resonances, Singular Hodge Theory", vol 5, Wiley-VCH, Berlin, 1999, pp. 287-431.

111. B.-W. Schulze, M.I. Vishik, I. Witt, and S.V. Zelik. The trajectory attractor for a nonlinear elliptic system in a cylindrical domain with piecewise smooth boundary. Rendiconti Accademia Nazionale delle Scienze detta dei XL Memorie di Matematica e Applicazioni 117 (1999), Vol. XXIII, fasc. 1, pagg. 125-166.

112. B.-W. Schulze and N.N. Tarkhanov. Ellipticity and parametrices on manifolds with cuspidal edges. In: "Geometric Aspects of Partial Differential Equations", B. Booss-Bavnbek, K. Wojciechowski (eds), Contemporary Mathematics vol. 242, Amer. Math. Soc., Providence, R.I., 1999, pp. 217-256.

113. B.-W. Schulze. Iterated asymptotics on corner manifolds. In Proc. Conference "Partial Differential Equations and their Applications". Wuhan, China, April 5-9, 1999. (Chen Hua, L. Rodino, eds.) World Scientific Publishing Co. Singapore, New Jersey, London, Hong Kong 1999, pp. 283-296.

114. V.S. Rabinovich, B.-W. Schulze, and N.N. Tarkhanov. Elliptic boundary problems in domains with intersecting cuspidal edges (Russ.). Russ. Math. Dokl. 375, 6 (2000), 737-741.

115. E. Schrohe and B.-W. Schulze. Edge-degenerate boundary value problems on cones. Lecture Notes in Pure and Applied Mathematics, "Evolution Equations and their Applications in Physical and Life Sciences" (Eds. G. Lumer and L. Weiss). Marcel Dekker, New York, 2000, pp. 159-173.

116. B.-W. Schulze. Pseudo-differential calculus and applications to non- smooth configurations. Lecture Notes to an International Workshop on "Pseudo-differential Operators and Their Applications" in Tbilisi, Georgia, April 1998. Preprint 1999/16, Institut für Mathematik, Potsdam, 1999 (ISSN 1437-739X). Lecture Notes of the Tbilisi International Centre of Mathematics and Informatics

(TICMI), vol. 1, Tbilisi 2000.

117. V.S. Rabinovich, B.-W. Schulze, and N.N. Tarkhanov. A calculus of boundary value problems in domains with non-Lipschitz singular points. Math. Nachr. 215 (2000), 115-160.

118. J.B. Gil, B.-W. Schulze, and J. Seiler. Cone pseudodifferential operators in the edge symbolic calculus. Osaka J. Math. 37 (2000), 219-258.

119. B.-W. Schulze and N.N. Tarkhanov. A Lefschetz fixed point formula in the relative elliptic theory. Communications in Applied Analysis, 4, 1 (2000), 99-119.

120. D. Kapanadze and B.-W. Schulze. Boundary value problems on manifolds with exits to infinity. Rendiconti del Seminario Matematico dell' Universita` e del Politecnico di Torino (special issue "Partial Differential Operators) 58, 3 (2000), 43-101.

121. V. Nazaikinskii, B.-W. Schulze, and B.Ju. Sternin. The index of quantized contact transformations on manifolds with conical singularities. Izvestiya Akad. Nauk RAN 65, 2 (2001), 127-154. (Engl. transl.: Izvestiya Mathematics 65, 2 (2001), 329-355).

122. D. Kapanadze and B.-W. Schulze. Pseudo-differential crack theory. Memoirs on Differential Equations and Mathematical Physics 22 (2001), 3-76.

123. D. Kapanadze and B.-W. Schulze. Parameter-dependent boundary value problems on manifolds with exits to infinity. Proc. Conf. in Mem. V.K. Patodi, Banaras Hindu University, Varanasi, India, Sept. 2000; "Geometry, Analysis and Applications", World Scientific, Singapore, 2001, pp. 93-117.

124. A. Savin, B.-W. Schulze, and B. Sternin. On the homotopy classification of elliptic boundary value problems. In: "Partial Differential Equations and Spectral Theory", Operator Theory, Adv. and Appl., vol. 126 , Birkhäuser Verlag, Basel, Boston, Berlin, 2001, pp. 299-30.

125. B.-W. Schulze. Operator algebras with symbol hierarchies on manifolds with singularities. Operator Theory Advances and Applications "Approaches to Singular Analysis". In: "Advances in Partial Differential Equations", vol 6 (J. Gil, D. Grieser, M. Lesch, eds.), Birkhäuser, Basel, 2001, pp. 167-207.

126. B.V. Fedosov, B.-W. Schulze and N.N. Tarkhanov. A general index formula on toric manifolds with conical singularities. Preprint 1999/15, Institut für Mathematik, Potsdam, 1999 (ISSN 1437-739X).

Operator Theory Advances and Applications "Approaches to Singular Analysis" In: "Advances in Partial Differential Equations" vol. 6 (J. Gil, D. Grieser, M. Lesch, eds.), Birkhäuser, Basel, 2001, pp. 234-256.

127. B.-W. Schulze. An algebra of boundary value problems not requiring Shapiro-Lopatinskij conditions. J. Funct. Analysis 179 (2001), 374-408.

128. Yu. Egorov, V. Kondratiev, and B.-W. Schulze. On the completeness of eigenfunctions of an elliptic operator on a manifold with conical points. Comptes Rendus Acad. Sc. Paris, t. 333, Serie 1 (2001), 551-556. Russian J. of Math. Phys. 8, 3 (2001), 267-274.

129. V. Rabinovich, B.-W. Schulze, and N.N. Tarkhanov. Local algebra of a non-symmetric corner. In: "Partial Differential Equations and Spectral Theory", Operator Theory, Adv. and Appl., vol. 126, Birkhäuser Verlag, Basel, Boston, Berlin, 2001, pp. 275-280.

130. B.-W. Schulze and N.N. Tarkhanov. Fredholm problems for elliptic operators. Russian J. of Math. Phys. 8, 3 (2001), 346-355.

131. V. Rabinovich, B.-W. Schulze, and N. Tarkhanov. Boundary value problems with non Lipschitz boundary. Nonlinear Analysis 47 (2001), 1881-1891.

132. B.-W. Schulze. Operator algebras with hierarchies of symbols. Research Institute for Mathematical Sciences (RIMS), Kyoto, Japan, "Asymptotic Analysis and Microlocal Analysis of PDE". Kyoto University, 2001, pp. 3-18.

133. V.E. Nazaikinskii, B.-W. Schulze, and B.Yu. Sternin. Quantization Methods in Differential Equations. Monograph , Taylor & Francis, London and New York, 2002.

134. G. Harutjunjan and B.-W. Schulze. An algebra of boundary symbols. Isvestiya NAN Armenii. Mathematika. (Russ. version) 37, 4 (2002), 15-30. J. Contemp. Math. Anal. (Engl. version) 37, 4 (2002), 15-30.

135. B.-W. Schulze and J. Seiler. The edge algebra structure of boundary value problems. Ann. Glob. Anal. Geom. 22 (2002), 197-265.

136. V.S. Rabinovich, B.-W. Schulze, and N.N. Tarkhanov. C*-algebras of SIO's with oscillating symbols. Manuscripta mathematica 108 (2002), 69-90.

137. B.V. Fedosov, B.-W. Schulze, and N.N. Tarkhanov. Analytic index formulas for elliptic corner operators. Ann. Inst. Fourier 52, 3 (2002), 899-982.

138. B.-W. Schulze. Operators with symbol hierarchies and iterated asymptotics. Publications of RIMS, Kyoto University, 38, 4 (2002), 735-802.

139. Yu. Egorov, V. Kondratiev, and B.-W. Schulze. On the completeness of root functions of elliptic boundary problems in a domain with conical points at the boundary. Comptes Rendus Acad.Sc. Paris, Ser. I 334 (2002), 649-654.

140. A. Savin, B.-W. Schulze, and B. Ju. Sternin. Elliptic operators in subspaces and the eta invariant. J. of K-Theory 27, (2002), 253-272.

141. T. Krainer and B.-W. Schulze. On the inverse of parabolic systems of partial differential equations of general form in an infinite space-time cylinder. In: Adv. in PDE "Parabolicity, Volterra Calculus, and Conical Singularities", Operator Theory, Adv. and Appl., vol. 138, Birkhäuser, Basel 2002, pp. 93-278.

142. D. Kapanadze, B.-W. Schulze, and I. Witt. Coordinate invariance of the cone algebra with asymptotics. In: Adv. in PDE "Parabolicity, Volterra Calculus, and Conical Singularities", Birkhäuser, Basel 2003, pp. 307-358.

143 . B.-W. Schulze, A. Shlapunov, and N.N. Tarkhanov. Green integrals on manifolds with cracks. Ann. Glob. Anal. Geom. 24 (2003), 131-160.

144. B.-W. Schulze. Crack theory with singularities at the boundary. Pliska Stud. Math. Bulgar. 15 (2003), 21-66.

145. G. De Donno and B.-W. Schulze. Meromorphic symbolic structures for boundary value problems on manifolds with edges.

Preprint 2003/10, Institut für Mathematik, Potsdam 2003. (ISSN 1437-739X). Math. Nachr. 279, 4 (2006), 368-399.

146. D. Kapanadze and B.-W. Schulze. Symbolic calculus for boundary value problems on

manifolds with edges. Integral Equ. and Operator Theory 45 (2003), 64-104.

147. B.-W. Schulze and N. Tarkhanov. Differential analysis on stratified spaces. In: "Hyperbolic Differential Operators and Related Problems" (Eds. Ancona and J. Vaillant), Lecture Notes in Pure and Appl. Math., vol. 233, Marcel Dekker, New York, 2003, pp. 157-178.

148. D. Kapanadze and B.-W. Schulze. Crack theory and edge singularities. Monograph, Kluwer Academic Publishers, Dordrecht, 2003. (Book Series "Mathematics and its Applications: Vol. 561).

149. L. Maniccia and B.-W. Schulze. An algebra of meromorphic corner symbols. Bulletin des Sciences Mathematiques 127 , 1 (2003), 55-99.

150. V.S. Rabinovich, B.-W. Schulze, and N.N. Tarkhanov. Boundary value problems in oscillating cuspidal wedges. Rocky Mountain Journal of Mathematics 34, 1-4 (2004), 1397-1469.

151. A. Oliaro and B.-W. Schulze. Parameter-dependent boundary value problems on manifolds with edges. Int. Journal of Pure and Applied Math. 13, 1 (2004), 39-100.

152. B.-W. Schulze and J. Seiler. Pseudodifferential boundary value problems with global projection conditions. J. Funct. Analysis 206, 2 (2004), 449-498.

153. T. Krainer and B.-W. Schulze. Long-time asymptotics with geometric singularities in the spatial variables. Contemporary Mathematics 364 (2004), 103-126.

154. B.-W. Schulze. Toeplitz operators, and ellipticity of boundary value problems with global projection conditions. In: "Adv. in Partial Differential Equations", Eds. J. Gil, T. Krainer, and I. Witt, "Operator Theory: Adv. and Appl.", vol. 151, 342-429. Birkhäuser Verlag, Basel, 2004.

155. G. Harutjunjan and B.-W. Schulze. Reduction of orders in boundary value problems without the transmission property. Journal of the Mathematical Society of Japan 56, 1 (2004), 65-85.

156. G. Harutjunjan and B.-W. Schulze. Parametrices of mixed elliptic problems. Math. Nachr. 277 (2004), 56-82.

157. B.-W. Schulze and J. Seiler. Edge operators with conditions of Toeplitz type. Preprint 2002/13, Institut für Mathematik, Potsdam, 2002. (ISSN 1437-739X). J. Inst. Math. Jussieu 5, 1 (2006), 101-123.

158. G. Harutjunjan and B.-W. Schulze. Boundary value problems with meromorphic symbols in cylindrical domains. Math. Meth. in the Applied Sciences. 28, 15 (2005), 1829-1845.

159. T. Krainer and B.-W. Schulze. The conormal symbolic structure of corner boundary value problems. Advances in Pseudo-differential Operators, Eds. R. Achino, P. Boggiatto, and M.W. Wong. Operator Theory, Advances and Applications, Vol. 155, 19 - 64, Birkhäuser Verlag, Basel, 2004.

160. N. Dines and B.-W. Schulze. Mellin-edge representations of elliptic operators. Preprint 2003/18, Institut für Mathematik, Potsdam, 2003. (ISSN 1437-739). Math. Meth. in the Applied Sciences 28, 18 (2005), 2133-2172 .

161. B. Fedosov, B.-W. Schulze, and N. Tarkhanov. On the index theorem for symplectic orbifolds. Ann. Inst. Fourier 54, 5 (2004), 1601-1639.

162. V. Nazaikinskij, A. Savin, B.-W. Schulze, and B. Sternin. On the existence of elliptic problems on manifolds with edges. Russ. Mat. Dokl. 395, 4 (2004), 455-458.

163. D. Kapanadze and B.-W. Schulze. Boundary-contact problems for domains with conical singularities. J. of Differential Equ. 217, (2005), 456-500.

164. V. Nazaikinskij, A. Savin, B.-W. Schulze, and B. Sternin. On the index of differential operators on manifolds with edges. Russ. Mat. Dokl. 394, 3 (2004), 309-312.

165. V. Nazaikinskij, A. Savin, B.-W. Schulze, and B. Sternin. On pseudodifferential operators on manifolds with edges. Russ. Mat. Dokl. 398, 4 (2004), 455-458.

166. A. Kytmanov, S. Myslivets, B.-W. Schulze, and N.N. Tarkhanov. Elliptic problems for the Dolbeault complex. Math. Nachr. 278, 1-2 (2005), 194-215.

167. X. Liu and B.-W. Schulze. Ellipticity on manifolds with edges and boundary. Monatshefte für Mathematik. 146, 4 (2005), 295-331.

168. D. Calvo, C.-I. Martin, and B.-W. Schulze. Symbolic structures on corner manifolds. In: RIMS Conf. dedicated to L. Boutet de

Monvel on "Microlocal Analysis and Asymptotic Analysis", Kyoto, August 2004, Keio University, Tokyo, 2005, pp. 22-35.

169. V. Nazaikinskij, A. Savin, B.-W. Schulze, and B. Sternin. On the index of differential operators on manifolds with edges. Mat. Sbornik 196, 9 (2005), 23-58.

170. D. Kapanadze and B.-W. Schulze. Asymptotics of potentials in the edge calculus. Bollettino della Unione Mat. Italiana. (8) 9 -B (2006), 145-182.

171. G. Harutjunjan and B.-W. Schulze. The relative index for corner singularities. Integral Equ. and Operator Theory 54, 3 (2006), 385-426.

172. V. Nazaikinskij, A. Savin, B.-W. Schulze, and B. Sternin. The index problem on manifolds with edges. Contemporary Mathematics. 391 (2005), 289-296.

173. V. E. Nazaikinskii, A. Yu. Savin, B.-W. Schulze, and B. Yu. Sternin. Elliptic Theory on Singular Manifolds. Monograph, Taylor & Francis, London and New York, 2005.

174. G. Harutyunyan and B.-W. Schulze. Elliptic Mixed, Transmission, and Singular Crack Problems. Monograph, European Math. Soc. Zürich, 2008.

175. D. Calvo and B.-W. Schulze. Operators on corner manifolds with exit to infinity. Journal of Diff. Equations 19, 2 (2006), 147-192.

176. G. Harutjunjan and B.-W. Schulze. Mixed problems and edge calculus. Rendiconti del Seminario Matematico dell'Universita` e del Politecnico di Torino 64, 2 (2006), 159-198.

177. B.-W. Schulze and N. Tarkhanov. Pseudodifferential operators with operator-valued symbols. Contemporary Mathematics. 382 (2005), 365-383.

178. S. Coriasco and B.-W. Schulze. Edge problems on configurations with model cones of different dimensions. Osaka J. Math. 43, 1 (2006), 1-40.

179. G. Jaiani and B.-W. Schulze. Some degenerate elliptic systems and applications to cusped plates. Math. Nachr. 280, 4 (2007), 388-407.

180. N. Dines, G. Harutjunjan, and B.-W. Schulze. Mixed boundary value problems and parametrices in the edge calculus. Bulletin des Sciences Mathematiques. 131, 4 (2007), 325-360.

181. G. Harutjunjan and B.-W. Schulze. The Zaremba problem with singular interfaces as a corner boundary value problem. Potential Analysis 25, 4 (2006), 327-369.

182. C.-I. Martin, and B.-W. Schulze. The quantisation of edge symbols. Operator Theory: Advances and Applications, vol. 172, pp. 1-31, 2006 Birkhäuser Verlag, Basel.

183. B.-W. Schulze. The structure of operators on manifolds with polyhedral singularities. arXiv: math. AP /0610618, (2006).

184. D. Kapanadze and B.-W. Schulze. Boundary-contact problems for domains with edge singularities. J. of Differential Equ. 234 (2007), 26-53.

185. X. Liu and B.-W. Schulze. Boundary value problems in edge representation. Math. Nachr. 280, 5-6 (2007), 581-621.

186. G. Harutjunjan and B.-W. Schulze. Conormal symbols of mixed elliptic problems with singular interfaces. Izvestiya Natsionalnoi Akademii Nauk Armenii. Matematika, 41, 4 (2006), 42-60.

187. B.-W. Schulze. Pseudo-differential calculus on manifolds with geometric singularities. Fields Institute Communications 52 (2007), 37-83.

188. D. Kapanadze, B.-W. Schulze, and J. Seiler. Operators with singular trace conditions on a manifold with edges. Integral Equ. and Operator Theory, 61 (2008), 241-279.

189. G. Harutyunyan and B.-W. Schulze. Boundary value problems in weighted edge spaces. Contemporary Mathematics 455 (2008), 151 - 167.

190. H.-J. Flad, R. Schneider, and B.-W. Schulze. Asymptotic regularity of solutions of Hartree-Fock equations with Coulomb potential. Math. Meth. in the Applied Sciences. 31, 18 (2008), 2172-2201.

191. D. Calvo and B.-W. Schulze. Edge symbolic structures of second generation. Math. Nachr. 282, 3 (2009), 348 - 367.

192. J. Abed and B.-W. Schulze. Operators with corner-degenerate symbols. In: "Operator Theory, Advances and Applications", vol. 189, Birkhäuser Verlag, Basel. (2008), "New Developments in Pseudo-Differential Operators". pp. 67 - 106.

193. B.-W. Schulze. On a paper of Krupchyk, Tarkhanov, and Tuomela. J. Funct. Anal. 256 (2008), 1665-1667.

194. B.-W. Schulze and A. Volpato. Green operators in the edge calculus. http://arXiv.org/abs/math.AP/0608792. Rend. Sem. Mat. Univ. Pol. Torino, 66 , 1 (2008), 29-58.

195. N. Dines, X. Liu, and B.-W. Schulze. Edge quantisation of elliptic operators. Monatshefte für Mathematik. 156 (2009), 233-274.

196. B.-W. Schulze, and Y. Wei. Edge-boundary problems with singular trace conditions. Ann. Glob. Anal. Geom. 35 (2009), 413-429.

197. B.-W. Schulze. The iterative structure of corner operators. arXiv:0905.0977v1 [math.AP].

198. J. Abed and B.-W. Schulze. Edge-degenerate families of pseudo-differential operators on an infinite cylinder. arXiv: 0901.1967v1 [math.AP]. Operator Theory, Advances and Applications, vol. 205, “Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations “, Birkh\" auser Verlag, Basel, 2009, pp. 59-80.

198. B.-W. Schulze. Edge-degenerate operators at conical exits to infinity, Oper. Theory: Adv. Appl., vol. 216, “Modern Aspects of the Theory of Partial Differential Equations” (M. Ruzhansky et al. eds.), Birkh\" auser Verlag, Basel, 2011, pp. 41-64.

200. N. Habal and B.-W. Schulze, Holomorphic corner symbols, J. Pseudo-Differ. Oper. Appl.  4 (2011), 419-465.

201. B.-W. Schulze, The iterative structure of the corner calculus, Oper. Theory: Adv. Appl., vol. 213, “Pseudo-Differential Operators: Analysis, Application and Computations” (L. Rodino et al. eds.), Birkh\" auser Verlag, Basel, 2011, pp. 79-103.

202. N. Habal and B.-W. Schulze, Mellin quantisation in corner operators, Operator Theory, Advances and Applications, vol. 228, (Y.I. Karlovich et al. eds.), ``Operator Theory, Pseudo-Differential Equations, and Mathematical Physics", The Vladimir Rabinovich Anniversary Volume, Birkh\" auser, Basel, 2013, pp. 151-172.

203. B.-W. Schulze and L. Tepoyan, The singular functions of branching edge asymptotics, Operator Theory: Advances and Applications, 231 (2013), 27-53, Springer, Basel.

204. N. Habal, B.-W. Schulze, and W. Rungrottheera, A class of elliptic operators on a manifold with edge and boundary},  Trends in Mathematics, Fourier Analysis, (M. Ruzhansky and V. Turunen, eds.), ``Pseudo-differential Operators, Time-Frequency Analysis and Partial Differential Equations", Birkh\"auser Basel, 2014, pp. 187-209.

205.  D.-C. Chang, N. Habal, and B.-W. Schulze, Quantisation on a manifold with singular edge, NCTS Preprints in Mathematics 2013-1-002, Taiwan, 2013. J. Pseudo-Differ Oper Appl. 4, 3 (2013), 317-343.

206.  D.-C. Chang, N. Habal, and B.-W. Schulze, The edge algebra structure of the Zaremba problem, NCTS Preprints in Mathematics \textbf{2013-6-002}, Taiwan, 2013. J. Pseudo-Differ. Oper. Appl.  5 (2014), 69–155, online: DOI: 10.1007/s11868-013-0088-7

207. D.-C. Chang, T. Qian, and B.-W. Schulze, Corner Boundary Value Problems, NCTS Preprints in Mathematics 2014-2-001, Taiwan, 2014.

208.  W. Rungrottheera and B.-W. Schulze, Holomorphic operator families on a manifold with edge, J. Pseudo-Differ. Oper. Appl. 4, 3 (2013), 297-315.

209.  W. Rungrottheera and B.-W. Schulze, Weighted spaces on corner manifolds, Complex Variables and Elliptic Equations, online: http://www.tandfonline.com/doi/full/10.1080/17476933.2013.876416 .

210. B.-W. Schulze and L. Tepoyan, The singular functions of branching edge asymptotics, arXiv:1202.0387v2 [math.AP]; Oper. Theory: Adv. Appl. 231, Pseudo-Differential Operators, Generalized Functions and Asymptotics (S. Molahajloo et al. eds.), Birkh\" auser Verlag, Basel, 2013, pp. 27-53.

211. B.-W. Schulze and M.W. Wong, Mellin and Green operators of the corner calculus, J. Pseudo-Differ. Oper. Appl. 2, 4 (2011), 467-507.

212. B.-W. Schulze and M.W. Wong, Mellin operators with asymptotics on manifolds with corners, Oper. Theory: Adv. Appl. 213, Pseudo-Differential Operators: Analysis, Application and Computations (L. Rodino et al. eds.), Birkh\" auser Verlag, Basel, 2011, pp. 31-78.

213. B.-W. Schulze and Y. Wei, The Mellin-edge quantisation for corner operators, arXiv:1201.6525v1 [math.AP]. Complex Analysis and Operator Theory, online: 27 February 2013, 10.1007/s11785-013-0289-3

214.  X. Lyu and B.-W. Schulze, Higher corner spaces with iterated asymptotics and Green plus Mellin operators. Lecture Notes of TICMI, vol. 15, 2014, 1-26.

215. W. Rungrottheera, B.-W. Schulze, and M.W. Wong, Iterative properties of pseudo-differential operators, (manuscript in progress, since March 2013).

216. W. Rungrottheera and B.-W. Schulze, Corner pseudo-differential operators, (manuscript in progress, since March 2013).

217.  D.-C. Chang and B.-W. Schulze, Ellipticity on Second Order Singular Manifolds with Boundary, (manuscript in progress, since September 2013).

218.  D.-C. Chang, B.-W. Schulze, and Y. Wei. Higher corner Green and Mellin operators (in preparation, since January 2014)

 

 

Preprints and other Manuscripts

1. B.-W. Schulze . Pseudo-differential operators, ellipticity an asymptotics on manifolds with edges. Preprint MPI 94-40 , Max-Planck-Institut, Bonn, 1994.

2. B.-W. Schulze and N.N. Tarkhanov. Wedge Sobolev spaces. Preprint MPI 95-122 , Max-Planck-Institut, Bonn, 1995.

3. B.-W. Schulze, B. Sternin, and V. Shatalov. Asymptotic solutions to differential equations on manifolds with cusps. Preprint MPI 96-89 , Max-Planck-Institut, Bonn, 1996.

4. B.-W. Schulze, B. Sternin, and V. Shatalov. An operator algebra on manifolds with cusp type singularities. Preprint MPI 96-111 , Max-Planck-Institut, Bonn, 1996.

5. B.-W. Schulze, B. Sternin, and V. Shatalov. Operator algebras on cuspidal wedges. Preprint MPI 96-137 , Max-Planck-Institut, Bonn, 1996.

6. B.-W. Schulze and N.N. Tarkhanov. Lefschetz theory on manifolds with edges. Preprint 97/08 , Institut für Mathematik, Potsdam, 1997.

7. B.-W. Schulze, B.Ju. Sternin, and V.E. Shatalov. Oscillation of elastic shells with conical points. Universite de Nice-Sophia Antipolis, Preprint 470 , Nice 1997.

8. B.-W. Schulze, B.Ju. Sternin, and V.E. Shatalov. Operator algebras on singular manifolds I. Preprint 97/16 , Institut für Mathematik, Potsdam, 1997.

9. B.-W. Schulze, B.Ju. Sternin, and V.E. Shatalov. Operator algebras on singular manifolds IV,V. Preprint 97/19 , Institut für Mathematik, Potsdam, 1997.

10. V. Nazaikinskii, B.-W. Schulze, B.Ju. Sternin, and V.E. Shatalov. Quantization of symplectic transformations on manifolds with conical singularities. Preprint 97/23 , Institut für Mathematik, Potsdam, 1997.

11. B.V. Fedosov, B.-W. Schulze and N.N. Tarkhanov. The index of higher order operators on singular surfaces. Preprint 98/03 , Institut für Mathematik, Potsdam, 1998.

12. B.V. Fedosov, B.-W. Schulze and N.N. Tarkhanov. A remark on the index of symmetric operators. Preprint 98/04 , Institut für Mathematik, Potsdam, 1998.

13. B. Paneah and B.-W. Schulze. On the existence of smooth solutions of the Dirichlet problem for hyperbolic differential equations Preprint 98/05 , Institut für Mathematik, Potsdam, 1997.

14. T. Buchholz and B.-W. Schulze. Volterra operators and parabolicity. Anisotropic pseudo-differential operators. Preprint 98/11 , Institut für Mathematik, Potsdam, 1998.

15. V. Nazaikinskii, B.-W. Schulze, and B.Ju. Sternin. A semiclasical quantization on manifolds with singulariteis and the Lefschetz formula for elliptic operators. Preprint 98/19 , Institut für Mathematik, Potsdam, 1998.

16. V. Nazaikinskii, B.-W. Schulze, and B.Ju. Sternin. Quantization and the wave packet transform (Chapter 1 of "Quantization Methods in Differential Equations"). Preprint 99/08 , Institut für Mathematik, Potsdam, 1999. (ISSN 1437-739X).

17. V.S. Rabinovich, B.-W. Schulze, and N.N. Tarkhanov. Boundary value problems in domains with corners. Preprint 99/19 , Institut für Mathematik, Potsdam, 1999. (ISSN 1437-739X).

18. V.E. Nazaikinskii, B.-W. Schulze, and B.Ju. Sternin. The homotopy classification and the index of boundary value problems for general elliptic operators. Preprint 99/20 , Institut für Mathematik, Potsdam, 1999. (ISSN 1437-739X).

19. V.E. Nazaikinskii, B.-W. Schulze, and B.Ju. Sternin. On the homotopy classification of elliptic operators on manifolds with singularities. Preprint 99/21 , Institut für Mathematik, Potsdam, 1999. (ISSN 1437-739X).

20. V.E. Nazaikinskii, B.-W. Schulze, and B.Ju. Sternin. Quantization of Lagrangian modules (Chapter 2 of "Quantization Methods in Differential Equations"). Preprint 1999/22 , Institut für Mathematik, Potsdam, 1999. (ISSN 1437-739X).

21. A. Savin, B.-W. Schulze, and B.Ju. Sternin. Elliptic operators in subspaces. Preprint 2000/04 , Institut für Mathematik, Potsdam, 2000. (ISSN 1437-739X).

22. B.-W. Schulze and N.N. Tarkhanov. Asymptotics of solutions to elliptic equations on manifolds with corners. Preprint 2000/05 , Institut für Mathematik, Potsdam, 2000. (ISSN 1437-739X).

23. G. Harutjunjan, B.-W. Schulze, and I. Witt. Boundary value problems in the edge pseudo-differential calculus. Preprint 2000/10 , Institut für Mathematik, Potsdam, 2000. (ISSN 1437-739X).

24. V.E. Nazaikinskii, B.-W. Schulze, and B.Ju. Sternin. Noncommutative analysis: Main ideas, definitions, and theorems ("Quantization Methods in Differential Equations"). Preprint 2000/11 , Institut für Mathematik, Potsdam, 2000. (ISSN 1437-739X).

25. B.-W. Schulze and N.N. Tarkhanov. Pseudodifferential operators on manifolds with corners. Preprint 2000/13 , Institut für Mathematik, Potsdam, 2000. (ISSN 1437-739X).

26. V.E. Nazaikinskii, B.-W. Schulze, and B.Ju. Sternin. Exactly soluble commutation relations. (The simplest class of classical mechanics). ( "Quantization Methods in Differential Equations"). Preprint 2000/14 , Institut für Mathematik, Potsdam, 2000. (ISSN 1437-739X).

27. B.-W. Schulze. Operators on corner manifolds. (Monograph) (in preparation)

28. V.E. Nazaikinskii, B.-W. Schulze, and B.Ju. Sternin. Applications of noncommutative analysis to operator algebras on singular manifolds. ("Quantization Methods in Differential Equations"). Preprint 2000/15 , Institut für Mathematik, Potsdam, 2000. (ISSN 1437-739X).

29. V.E. Nazaikinskii, B.-W. Schulze, and B.Ju. Sternin. Noncommutative analysis and high-frequency asymptotics. ("Quantization Methods in Differential Equations"). Preprint 2000/20 , Institut für Mathematik, Potsdam, 2000 (ISSN 1437-739X).

30. V. E. Nazaikinskii, B. Ju. Sternin, and B.-W. Schulze. Localization problem in index theory of elliptic operators . Preprint 2001/34 , Institut für Mathematik, Potsdam, 2001. (ISSN 1437-739X).

31. V. Nazaikinskii, B.-W. Schulze, and B. Sternin: Surgery and the relative index theorem for families of elliptic operators. Preprint 2002/11 , Institut für Mathematik, Potsdam, 2002. (ISSN 1437-739X).

32. V. Nazaikinskii, A. Savin, B.-W. Schulze, and B. Sternin. Elliptic theory on manifolds with nonisolated singularities. I. The index of cone-degenerate operators. Preprint 2002/14 , Institut für Mathematik, Potsdam, 2002. (ISSN 1437-739X).

33. V. Nazaikinskii, A. Savin, B.-W. Schulze, and B. Sternin. Elliptic theory on manifolds with nonisolated singularities. II. Products in elliptic theory on manifolds with edges. Preprint 2002/15 , Institut für Mathematik, Potsdam, 2002. (ISSN 1437-739X).

34. V. Nazaikinskij, A. Savin, B.-W. Schulze, and B. Sternin. Elliptic theory on manifolds with nonisolated singularities. III. The spectral flow of families of conormal symbols. Preprint 2002/20 , Institut für Mathematik, Potsdam, 2002. (ISSN 1437-739X).

35. V. Nazaikinskij, A. Savin, B.-W. Schulze, and B. Sternin. Elliptic theory on manifolds with nonisolated singularities. IV. Obstructions to elliptic problems on manifolds with edges. Preprint 2002/24 , Institut für Mathematik, Potsdam, 2002. (ISSN 1437-739X).

36. V. Nazaikinskij, A. Savin, B.-W. Schulze, and B. Sternin. Elliptic theory on manifolds with nonisolated singularities. V. Index formulas for elliptic problems on manifolds with edges. Preprint 2003/02 , Insitut für Mathematik, Potsdam, 2003. (ISSN 1437-739X).

37. V. Nazaikinskij, A. Savin, B.-W. Schulze, and B. Sternin. Localization (surgery) in elliptic theory. Preprint 2003/06 , Institut für Mathematik, Potsdam, 2003. (ISSN 1437-739X). 38. V. Nazaikinskij, A. Savin, B.-W. Schulze, and B. Sternin. Index defects in elliptic theory. Preprint 2003/09 , Institut für Mathematik, Potsdam, 2003. (ISSN 1437-739X).

39. V. Nazaikinskij, A. Savin, B.-W. Schulze, and B. Sternin. Pseudodifferential operators. Preprint 2003/11 , Institut für Mathematik, Potsdam, 2003. (ISSN 1437-739X).

40. V. Nazaikinskij, A. Savin, B.-W. Schulze, and B. Sternin. Eta invariant and the spectral flow. Preprint 2003/12 , Institut für Mathematik, Potsdam, 2003. (ISSN 1437-739X).

41. V. Nazaikinskij, A. Savin, B.-W. Schulze and B. Sternin. Manifolds with isolated singularities. Preprint 2003/23 , Institut für Mathematik, Potsdam, 2003. (ISSN 1437-739X).

42. V. Nazaikinskij, A. Savin, B.-W. Schulze, and B. Sternin. Elliptic theory on manifolds with edges, I. Preprint 2003/25 , Institut für Mathematik, Potsdam, 2003. (ISSN 1437-739X).

43. V. Nazaikinskij, A. Savin, B.-W. Schulze, and B. Sternin. The index problem on manifolds with singularities. Preprint 2004/06 , Institut für Mathematik, Potsdam, 2004. (ISSN 1437-739).

44. V. Nazaikinskij, A. Savin, B.-W. Schulze, and B. Sternin. Elliptic theory on manifolds with edges. Preprint 2004/15 , Institut für Mathematik, Potsdam, 2004. (ISSN 1437-739X).

45. V. Nazaikinskij, A. Savin, B.-W. Schulze, and B. Sternin. On the homotopy classification of elliptic operators on manifolds with edges. Preprint 2004/16 , Institut für Mathematik, Potsdam, 2004. (ISSN 1437-739X).

46. Yu.V. Egorov, V.A. Kondratiev, and B.-W. Schulze. On the completeness of root functions of elliptic boundary problems in a domain with conical points on the boundary. Preprint 2004/17 , Institut für Mathematik, Potsdam, 2004. (ISSN 1437-739X).

47. Y. Qin and B.-W. Schulze. Uniform compact attractors for a nonlinear non-autonomous equation of viscoelasticity. Preprint 2005/13 , Institut für Mathematik, Potsdam, 2005. (ISSN 1437-739X).

48 . B.-W. Schulze. Boundary value problems and edge calculus. (in preparation).

49. B.-W. Schulze. Elliptic differential operators on manifolds with edges. Preprint 2006/18 , Institut für Mathematik, Potsdam, 2006. (ISSN 1437-739X).

50. C.-I. Martin, and B.-W. Schulze. Parameter-dependent edge operators. (in preparation).

51. B.-W. Schulze, and A. Volpato. Cone and edge calculus with discrete asymptotics. Preprint 2009/02, Institut f{\"u}r Mathematik, Potsdam, 2009. (ISSN 1437-739X).

52. B.-W. Schulze. Boundary value problems with the transmission property. Preprint 2009/03 , Institut für Mathematik, Potsdam, 2009. (ISSN 1437-739X).

53. B.-W. Schulze, and A. Volpato, Continuous and variable discrete asymptotics. Preprint 2009/04, Institut f{\"u}r Mathematik, Potsdam, 2009. (ISSN 1437-739X).

54. B.-W. Schulze, and A. Volpato, Edge operators with variable discrete asymptotics. Preprint 2009/05, Institut f{\"u}r Mathematik, Potsdam, 2009. (ISSN 1437-739X).

 

Chronicle of Conferences

organized by (or jointly with) the research group "Partial Differential Equations and Complex Analysis" or by its predecessor at the Karl-Weierstrass-Institute in Berlin 

1976 International Summer School "Global Analysis"

Organizer: B.-W. Schulze.

Ludwigsfelde 1976.

1980 Spring School "Asymptotic Methods and Feynman Integrals". 

Organizer: B.-W. Schulze.

Biesenthal, April 14-18, 1980.

1981 Spring School "Geometric Methods in Mathematical Physics". 

Organizer: B.-W. Schulze.

Biesenthal, April 6-11, 1981.

1981 International Conference "Differential Geometry and Global Analysis". 

Organizing Committee: T. Friedrich, B.-W. Schulze, R. Sulanke.

Garwitz, October 5-11, 1981.

1984 Spring School "Nonlinear Equations of Mathematical Physics" .

Organizer: B.-W. Schulze.

Cottbus, May 1984.

1985 International Conference "Global Analysis and Mathematical Physics". 

Organizing Committee: T. Friedrich, H. Gajewski, H. Koch, B.-W. Schulze.

Reinhardsbrunn, September 23-28, 1985.

1988 International Symposion "Partial Differential Equations". 

Organizing Committee: J.-M. Bony, M. Demuth, Yu. V. Egorov, H. Gajewski, V. Petkov, B.-W. Schulze, J. Sjöstrand, H.Triebel, E. Zeidler.

Holzhau (Hotel of the Academy of Sciences Berlin), April 25-29, 1988.

1990 International Symposion "Analysis in Domains and on Manifolds with Singularities". 

Organizing Committee: M. Lorenz, B.-W. Schulze.

Breitenbrunn (Erzgebirge), April 30 - May 5, 1990.

1990 Winter School "Mellin Operators, Ellipticity, Asymptotics on Manifolds with Singularities". 

Organizers: M. Lorenz, B.-W. Schulze.

Chemnitz, December 3-7, 1990.

1991 International Symposion "Operator Calculus and Spectral Theory" .

Organizing Committee: M. Demuth, B. Gramsch, B. Helffer, B.-W. Schulze, R. Seiler, M. A. Shubin.

Lambrecht (Pfalzakademie), December 8-14, 1991.

1992 DMV-Seminar "Pseudo-Differential Operators, Singularities, Applications". 

Speakers: Yu. V. Egorov, B.-W. Schulze.

Reisensburg b. Günzburg, July 11-18, 1992.

1992 International Conference "Partial Differential Equations". 

Organizing Committee: M. Demuth, B.-W. Schulze.

Potsdam (Hotel "Potsdam"), September 6-12, 1992.

1993 Spring School "Analysis on Manifolds with Singularities". 

Organizer: B.-W. Schulze.

Potsdam (University), March 15-19, 1993.

1993 Oberwolfach Conference "Topics in Pseudo-Differential Operators". 

Organizing Committee: H.-O. Cordes, B. Gramsch, B.-W. Schulze, H. Widom.

Oberwolfach, April 4-9, 1993.

1993 International Conference "Partial Differential Equations". 

Organizing Committee: M. Demuth, B.-W. Schulze.

Potsdam ( Residence Hotel), September 6-10, 1993.

1994 Spring School "Analysis on Manifolds with Singularities". 

Organizer: B.-W. Schulze.

Potsdam (University), February 14-18, 1994.

1994 International Conference "Partial Differential Equations". 

Organizing Committee: S. Albeverio, L. Boutet de Monvel, M. Demuth, P.B. Gilkey, B. Gramsch, B. Helffer, S.T. Kuroda, B.-W. Schulze.

Holzhau, July 3-9, 1994.

1995 Spring School "Analytic Foundations of Index Theory; Operator Algebras and Singularities". 

Organizer: B.-W. Schulze.

Potsdam (University), February 13-17, 1995.

1995 International Conference "Partial Differential Equations". 

Organizing Committee: M. Demuth, B.-W. Schulze.

Caputh, July 24-28, 1995.

1995 German-Israeli Workshop "Partial Differential Equations and Mathematical Physics". 

Organizing Committee: S. Agmon, M. Ben-Artzi, M. Demuth, B.-W. Schulze.

E. Landau Center for Research in Mathematical Analysis, Jerusalem, Israel, December 4-12, 1995.

1996 Spring School "Pseudo-Differential Calculus and Index Theory on Singular and Non-Compact Manifolds". 

Organizers: E. Schrohe, B.-W. Schulze.

Potsdam (University), February 19-23, 1996.

1996 International Conference "Partial Differential Equations". 

Organizing Committee:H. Amann, M. Ben-Artzi, J.-M. Combes, M. Demuth, B. V. Fedosov, H. Komatsu, B.-W. Schulze, M. van den Berg.

Potsdam ( Residence Hotel), July 29 - August 3, 1996.

1996 International Workshop: NATO ASI "Microlocal Analysis and Spectral Theory". 

Scientific Committee: B. Helffer, L. Rodino (chairman), J. Sjöstrand, B.-W. Schulze.

Il Ciocco, Castelvacchio Pascoli. Italy, September 23 - October 3, 1996.

1997 Spring School "Boundary Value Problems, Spectral Theory, Index of Singular Pseudo-Differential Operators". 

Organizers: E. Schrohe, B.-W. Schulze.

Potsdam (University), February 24-28, 1997.

1997 Oberwolfach Conference "Quantum Field Theory and Wave Front Sets". 

Organizing Committee: K. Fredenhagen, B.-W. Schulze, E. Zeidler.

Oberwolfach, March 2-8, 1997.

1997 Oberwolfach Conference " Pseudo-Differential Operators and Microlocal Analysis". 

Organizing Committee: M. Beals, B. Gramsch, B.-W. Schulze, H. Widom.

Oberwolfach, April 20-26, 1997.

1997 International Workshop "Partial Differential Equations". 

Organizing Committee: E. Schrohe, B.-W. Schulze.

Potsdam (University), July 13-19, 1997.

1997 International Workshop "Partial Differential Equations". 

Organizing Committee: E. Schrohe, B.-W. Schulze.

Potsdam (University), November 24-28, 1997.

1998 Spring School "Operator Algebras with Symbolic Structures on Singular Manifolds, Index Theory, and Asymptotics". 

Organizers: E. Schrohe and B.-W. Schulze.

Potsdam (University), February 15-21, 1998.

1998 International Workshop "Partial Differential Equations" (Satellite meeting to the "International Congress of Mathematicians", Berlin, August 18-27, 1998). 

Organizing Committee: E. Schrohe and B.-W. Schulze.

Potsdam (University), August 9-15, 1998.

1999 International Conference "Operator Algebras and Asymptotics on Manifolds with Singularities" .

Organizing Committee: G. Lysik, V. Nazaikinskii, E. Schrohe, B.-W. Schulze, B. Sternin.

Stefan Banach International Mathematical Center, Warsaw, Poland, April 11-18, 1999.

1999 International Workshop "Partial Differential Equations". 

Organizing Committee: E. Schrohe and B.-W. Schulze.

Potsdam (University), July 19-23, 1999.

1999 Workshop "Trilateral Co-operation with Israel and Palestine" .

Organizers: M. Demuth, B.-W. Schulze,

Potsdam (University), November 17-19, 1999.

2000 Spring School "Operator Algebras and Index Theory on Manifolds with Singularities" .

Organizers: E. Schrohe and B.-W. Schulze,

Potsdam (University), February 14-19, 2000.

2000 Workshop and Fall School of the EU Research and Training Network "Geometric Analysis" and the Clay Mathematical Institute "Geometric Analysis" .

Organizers: A. Connes, N. Teleman, E. Schrohe, and B.-W. Schulze,

Potsdam (University), October 1-7, 2000.

2001 Spring School "Partial Differential Equations" .

Organizers: Chen Hua (Wuhan), L. Rodino (Torino), E. Schrohe, and B.-W. Schulze.

Potsdam (University), February 19-23, 2001.

2001 International Workshop "Partial Differential Equations; Operator Algebras and Microlocal Analysis" .

Organizers: E. Schrohe and B.-W. Schulze.

Potsdam (University), November 12-16, 2001.

2002 International Workshop "Analysis of Linear and Non-linear Hyperbolic Systems of Partial Differential Equations" .

Organizing Committee: J. Haerterich (Berlin), B.-W. Schulze (Potsdam), G. Warnecke (Magdeburg), and I. Witt (Potsdam).

Potsdam (University), September 30 - October 3, 2002.

2002 German-Chinese Workshop on "Partial Differential Equations" .

Organizing Committee: Chen Hua (Wuhan), Chen Shuxing (Shanghai), B.-W. Schulze (Potsdam), G. Warnecke (Magdeburg), I.

Witt (Potsdam). Potsdam (University), October 7 - 11, 2002.

2003 International Workshop "Operator Algebras on Manifolds with Singularities" .

Organizers: M. Klein, E. Schrohe, and B.-W. Schulze.

Potsdam (University), March 17-21, 2003.

2004 Workshop and Spring School of the EU Research and Training Network "Geometric Analysis", "Operator Algebras. Singularities, Deformation Quantization". 

Organizers: U. Bunke, B. Fedosov, E. Schrohe, B.-W. Schulze, N. Teleman.

Potsdam (University), March 1-5, 2004.

2004 International Conference "Degenerate PDEs and Singular Geometries" .

Organizers: J. Gil (Altoona), T. Krainer (Potsdam), P. Popivanov (Sofia), L. Rodino (Torino), I. Witt (London).

Potsdam (University), August 17 -20, 2004.

2005 German-Chinese Workshop "Partial Differential Equations" .

Organizing Committee: T. Krainer, B.-W. Schulze (Potsdam), Chen Hua (Wuhan), Chen Shuxing (Shanghai). Potsdam (University), February 14-18, 2005.

2006 Workshop "Pseudo-differential Calculus with Singularities, and Applications to Quantum Chemistry" .

Organizing Committee: H.-J. Flad (Max-Planck-Institute of Math. in Nat. Sc., Leipzig), T. Krainer (Potsdam), R. Schneider (Kiel), B.-W. Schulze (Potsdam).

Potsdam (University), February 27 - March 1, 2006.

2006 International Conference "Partial Differential Equations on Non-compact and Singular Manifolds" .

Organizing Committee: B. Fedosov (Moscow), G. Grubb (Copenhagen), T. Krainer (Potsdam), V. Nistor (Penn State), L. Rodino (Torino), B.-W. Schulze (Potsdam), N. Tose (Tokyo), M. W. Wong (Toronto).

Potsdam (University), August, 7- 12, 2006.

2008 International Workshop/School "Analysis on Singular Spaces" .

Organizing Committee: M. Lesch (Bonn), D. Grieser (Oldenburg), C.-I. Martin (Potsdam), B.-W. Schulze (Potsdam), I. Witt (Göttingen).

Hausdorff Center (Bonn), February 11 - 15, 2008.

2008 International Conference "Partial Differential Equations and Spectral Theory" .

Organizing Committee: M. Demuth (Clausthal), B.-W. Schulze (Potsdam), I. Witt (Goettingen).

Goslar, September, 01- 05, 2008.

2009 International Workshop "Elliptic and Parabolic Equations on Manifolds". 

Organizing Committee: Ma Li (Beijing), B.-W. Schulze (Potsdam), A. Volpato. (Potsdam), Xu Xingwang (Singapore).

Potsdam, January, 05- 08, 2009.

2010 International Workshop "Operators on Singular Spaces". 

Organizing Committee: W. Bauer (Greifswald), D. Grieser (Oldenburg), K. Furutani (Tokyo), T. Krainer (PENN state Univ.), B.-W. Schulze (Potsdam), I. Witt (Göttingen).

Potsdam, March, 08-12, 2010.

2011 International Workshop "Geometric and Singular Analysis". 

Organizing Committee: W. Bauer (Göttingen), K. Furutani (Tokyo), G. Harutyunyan (Oldenburg), B.-W. Schulze (Potsdam), I. Witt (Göttingen).

Potsdam, March, 07-11, 2011.

2012 International Workshop "Geometric and Singular Analysis". 

Organizing Committee: W. Bauer (Göttingen), H.-J. Flad (Berlin), K. Furutani (Tokyo), I. Markina (Bergen), B.-W. Schulze (Potsdam), J. Seiler (Torino).

Potsdam, March, 12-16, 2012.

2013 International Workshop "Geometric and Singular Analysis". 

Organizing Committee: W. Bauer (Göttingen), H.-J. Flad (München), K. Furutani (Tokyo), S. Paycha (Potsdam), J. Rowlett (Hannover), B.-W. Schulze (Potsdam), I. Witt (Göttingen).

Potsdam, March, 25- 29, 2013.

2014 International Workshop "Geometric and Singular Analysis". 

Organizing Committee: W. Bauer (Göttingen), H.-J. Flad (München), K. Furutani (Tokyo), S. Paycha (Potsdam), J. Rowlett (Hannover), B.-W. Schulze (Potsdam), I. Witt (Göttingen).

Potsdam, March, 24- 28, 2014.