Schulze, BertWolfgang
Overview
Works:  254 works in 691 publications in 2 languages and 7,438 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Creator 
Classifications:  QA329.7, 515.7242 
Publication Timeline
.
Most widely held works by
BertWolfgang Schulze
Boundary value problems and singular pseudodifferential operators by
BertWolfgang Schulze(
Book
)
12 editions published between 1998 and 1999 in English and held by 220 WorldCat member libraries worldwide
12 editions published between 1998 and 1999 in English and held by 220 WorldCat member libraries worldwide
Partial differential equations and spectral theory : PDE2000 Conference in Clausthal, Germany by
Michael Demuth(
Book
)
26 editions published between 2001 and 2011 in English and held by 215 WorldCat member libraries worldwide
The intention of the international conference PDE2000 was to bring together specialists from different areas of modern analysis, mathematical physics and geometry, to discuss not only the recent progress in their own fields but also the interaction between these fields. The special topics of the conference were spectral and scattering theory, semiclassical and asymptotic analysis, pseudodifferential operators and their relation to geometry, as well as partial differential operators and their connection to stochastic analysis and to the theory of semigroups. The scientific advisory board of the conference in Clausthal consisted of M. BenArtzi (Jerusalem), Chen Hua (Peking), M. Demuth (Clausthal), T. Ichinose (Kanazawa), L. Rodino (Turin), B.W. Schulze (Potsdam) and J. Sjöstrand (Paris). The book is aimed at researchers in mathematics and mathematical physics with interests in partial differential equations and all its related fields
26 editions published between 2001 and 2011 in English and held by 215 WorldCat member libraries worldwide
The intention of the international conference PDE2000 was to bring together specialists from different areas of modern analysis, mathematical physics and geometry, to discuss not only the recent progress in their own fields but also the interaction between these fields. The special topics of the conference were spectral and scattering theory, semiclassical and asymptotic analysis, pseudodifferential operators and their relation to geometry, as well as partial differential operators and their connection to stochastic analysis and to the theory of semigroups. The scientific advisory board of the conference in Clausthal consisted of M. BenArtzi (Jerusalem), Chen Hua (Peking), M. Demuth (Clausthal), T. Ichinose (Kanazawa), L. Rodino (Turin), B.W. Schulze (Potsdam) and J. Sjöstrand (Paris). The book is aimed at researchers in mathematics and mathematical physics with interests in partial differential equations and all its related fields
Index theory of elliptic boundary problems by
Stephan Rempel(
Book
)
12 editions published between 1982 and 1985 in English and held by 203 WorldCat member libraries worldwide
12 editions published between 1982 and 1985 in English and held by 203 WorldCat member libraries worldwide
Pseudodifferential operators, singularities, applications by
I︠U︡. V Egorov(
Book
)
13 editions published in 1997 in English and Undetermined and held by 194 WorldCat member libraries worldwide
This book grew out of lecture notes based on the DMV seminar "Pseudo Differential Operators, Singularities, Applications" held by the authors in ReisenburgGünzburg, 1219 July 1992. The modern theory of elliptic boundary value problems in domains having conical or edge singularities on the boundary as well as the classical theory of elliptic boundary value problems and the original Kondratiev theory are presented. This material forms the foundation for the second part of the book which contains a new construction of pseudodifferential operators with symbols corresponding to the singularities of the boundary of different dimensions. This allows in particular to obtain complete asymptotic expansions of solutions near these singularities
13 editions published in 1997 in English and Undetermined and held by 194 WorldCat member libraries worldwide
This book grew out of lecture notes based on the DMV seminar "Pseudo Differential Operators, Singularities, Applications" held by the authors in ReisenburgGünzburg, 1219 July 1992. The modern theory of elliptic boundary value problems in domains having conical or edge singularities on the boundary as well as the classical theory of elliptic boundary value problems and the original Kondratiev theory are presented. This material forms the foundation for the second part of the book which contains a new construction of pseudodifferential operators with symbols corresponding to the singularities of the boundary of different dimensions. This allows in particular to obtain complete asymptotic expansions of solutions near these singularities
Methoden der Potentialtheorie für elliptische Differentialgleichungen beliebiger Ordnung by
BertWolfgang Schulze(
Book
)
13 editions published between 1977 and 2014 in German and held by 176 WorldCat member libraries worldwide
Die Theorie des NEWToNschen Potentials von Massenverteilungen im Raum ist eines der ältesten Beispiele einer Verbindung von physikalischer Anschauung und mathematischer Interpretation. Bedeutende Mathematiker vieler Generationen, wie C.F. GAUSS, H. POINCARE, D. lIILEERT, N. WIENER haben daran mitgearbeitet. Die Entwicklung der modernen Potentialtheorie ist auch wesentlich durch die Arbeiten von G.C. EVANS, M. RIEsz, O. FBOSTMAN, M.V. KELDYs, M. BRELoT, H. CARTAN, J. DENY, G. CHOQUET, J.L. DooE, H. BAUER, C. CONSTANTINESCU, V.G. MAz 'JA, B. FUGLEDE und anderen bestimmt worden. Historische Darstellungen wurden z. B. in [K6], [A30], [B40] gegeben. Obwohl einige Teile der Potentialtheorie heute als im wesentlichen abgeschlossen gelten, hat sich die Entwicklung in den letzten Jahren wieder erheblich verstärkt, seit sich viele ihrer leistungsfähigen Begriffe und Methoden durch den zunehmenden Einsatz funktionalanalytischer Methoden auf weite Klassen von Problemen aus der Theorie der partiellen Differentialgleichungen anwenden lassen. Daneben sind in der Analysis auch davon unabhängige Bestrebungen von potentialtheoretischem Charakter zu beobachten
13 editions published between 1977 and 2014 in German and held by 176 WorldCat member libraries worldwide
Die Theorie des NEWToNschen Potentials von Massenverteilungen im Raum ist eines der ältesten Beispiele einer Verbindung von physikalischer Anschauung und mathematischer Interpretation. Bedeutende Mathematiker vieler Generationen, wie C.F. GAUSS, H. POINCARE, D. lIILEERT, N. WIENER haben daran mitgearbeitet. Die Entwicklung der modernen Potentialtheorie ist auch wesentlich durch die Arbeiten von G.C. EVANS, M. RIEsz, O. FBOSTMAN, M.V. KELDYs, M. BRELoT, H. CARTAN, J. DENY, G. CHOQUET, J.L. DooE, H. BAUER, C. CONSTANTINESCU, V.G. MAz 'JA, B. FUGLEDE und anderen bestimmt worden. Historische Darstellungen wurden z. B. in [K6], [A30], [B40] gegeben. Obwohl einige Teile der Potentialtheorie heute als im wesentlichen abgeschlossen gelten, hat sich die Entwicklung in den letzten Jahren wieder erheblich verstärkt, seit sich viele ihrer leistungsfähigen Begriffe und Methoden durch den zunehmenden Einsatz funktionalanalytischer Methoden auf weite Klassen von Problemen aus der Theorie der partiellen Differentialgleichungen anwenden lassen. Daneben sind in der Analysis auch davon unabhängige Bestrebungen von potentialtheoretischem Charakter zu beobachten
Pseudodifferential operators on manifolds with singularities by
BertWolfgang Schulze(
Book
)
14 editions published in 1991 in English and held by 171 WorldCat member libraries worldwide
The analysis of differential equations in domains and on manifolds with singularities belongs to the main streams of recent developments in applied and pure mathematics. The applications and concrete models from engineering and physics are often classical but the modern structure calculus was only possible since the achievements of pseudodifferential operators. This led to deep connections with index theory, topology and mathematical physics. The present book is devoted to elliptic partial differential equations in the framework of pseudodifferential operators. The first chapter contains the Mellin pseudodifferential calculus on R and the functional analysis of weighted Sobolev spaces with discrete and continuous asymptotics. Chapter 2 is devoted to the analogous theory on manifolds with conical singularities, Chapter 3 to manifolds with edges. Employed are pseudodifferential operators along edges with coneoperatorvalued symbols
14 editions published in 1991 in English and held by 171 WorldCat member libraries worldwide
The analysis of differential equations in domains and on manifolds with singularities belongs to the main streams of recent developments in applied and pure mathematics. The applications and concrete models from engineering and physics are often classical but the modern structure calculus was only possible since the achievements of pseudodifferential operators. This led to deep connections with index theory, topology and mathematical physics. The present book is devoted to elliptic partial differential equations in the framework of pseudodifferential operators. The first chapter contains the Mellin pseudodifferential calculus on R and the functional analysis of weighted Sobolev spaces with discrete and continuous asymptotics. Chapter 2 is devoted to the analogous theory on manifolds with conical singularities, Chapter 3 to manifolds with edges. Employed are pseudodifferential operators along edges with coneoperatorvalued symbols
Partial differential operators and mathematical physics : international conference in Holzhau, Germany, July 39, 1994(
Book
)
8 editions published in 1995 in English and held by 155 WorldCat member libraries worldwide
The book contains the contributions to the conference on "Partial Differential Equations" held in Holzhau (Germany) in July 1994, where outstanding specialists from analysis, geometry and mathematical physics reviewed recent progress and new interactions in these areas. Topics of special interest at the conference and which now form the core of this volume are hyperbolic operators, spectral theory for elliptic operators, etainvariant, singular configura tions and asymptotics, Bergmankernel, attractors of nonautonomous evolution equations, pseudodifferential boundary value problems, Mellin pseudo differential operators, approximation and stability problems for elliptic operators, and operator determinants. In spectral theory adiabatic and semiclassical limits, Dirichlet decoupling and domain perturbations, capacity of obstacles, limiting absorption problems, Nbody scattering, and number of bound states are considered. Schrödinger operators are studied with magnetic fields, with random and with manybody potentials, and for nonlinear problems. In semigroup theory the Feller property, errors for product formulas, fractional powers of generators, and functional integration for relativistic semigroups are analyzed
8 editions published in 1995 in English and held by 155 WorldCat member libraries worldwide
The book contains the contributions to the conference on "Partial Differential Equations" held in Holzhau (Germany) in July 1994, where outstanding specialists from analysis, geometry and mathematical physics reviewed recent progress and new interactions in these areas. Topics of special interest at the conference and which now form the core of this volume are hyperbolic operators, spectral theory for elliptic operators, etainvariant, singular configura tions and asymptotics, Bergmankernel, attractors of nonautonomous evolution equations, pseudodifferential boundary value problems, Mellin pseudo differential operators, approximation and stability problems for elliptic operators, and operator determinants. In spectral theory adiabatic and semiclassical limits, Dirichlet decoupling and domain perturbations, capacity of obstacles, limiting absorption problems, Nbody scattering, and number of bound states are considered. Schrödinger operators are studied with magnetic fields, with random and with manybody potentials, and for nonlinear problems. In semigroup theory the Feller property, errors for product formulas, fractional powers of generators, and functional integration for relativistic semigroups are analyzed
Differential equations on singular manifolds : semiclassical theory and operator algebras by
BertWolfgang Schulze(
Book
)
9 editions published in 1998 in English and held by 153 WorldCat member libraries worldwide
9 editions published in 1998 in English and held by 153 WorldCat member libraries worldwide
Operator calculus and spectral theory : Symposium on Operator Calculus and Spectral Theory, Lambrecht, Germany, December 1991 by
Michael Demuth(
Book
)
10 editions published in 1992 in English and held by 152 WorldCat member libraries worldwide
10 editions published in 1992 in English and held by 152 WorldCat member libraries worldwide
Partial differential equations : models in physics and biology(
Book
)
7 editions published in 1994 in English and German and held by 137 WorldCat member libraries worldwide
7 editions published in 1994 in English and German and held by 137 WorldCat member libraries worldwide
Pseudodifferential boundary value problems, conical singularities, and asymptotics by
BertWolfgang Schulze(
Book
)
10 editions published in 1994 in English and held by 133 WorldCat member libraries worldwide
10 editions published in 1994 in English and held by 133 WorldCat member libraries worldwide
Pseudodifferential calculus and mathematical physics(
Book
)
7 editions published between 1994 and 1999 in English and held by 133 WorldCat member libraries worldwide
7 editions published between 1994 and 1999 in English and held by 133 WorldCat member libraries worldwide
Boundary value problems, Schrödinger operators, deformation quantization(
Book
)
10 editions published between 1995 and 1999 in English and held by 131 WorldCat member libraries worldwide
10 editions published between 1995 and 1999 in English and held by 131 WorldCat member libraries worldwide
New trends in the theory of hyperbolic equations : advances in partial differential equations by
Michael Reissig(
Book
)
30 editions published between 2005 and 2006 in English and held by 128 WorldCat member libraries worldwide
"The present volume is dedicated to modern topics of the theory of hyperbolic equations such as evolution equations, multiple characteristics, propagation phenomena, global existence, influence of nonlinearities." "It is adressed to beginners as well as specialists in these fields. The contributions are to a large extent selfcontained."Jacket
30 editions published between 2005 and 2006 in English and held by 128 WorldCat member libraries worldwide
"The present volume is dedicated to modern topics of the theory of hyperbolic equations such as evolution equations, multiple characteristics, propagation phenomena, global existence, influence of nonlinearities." "It is adressed to beginners as well as specialists in these fields. The contributions are to a large extent selfcontained."Jacket
Elliptic mixed, transmission and singular crack problems by
Gohar Harutyunyan(
Book
)
11 editions published between 2007 and 2008 in English and held by 120 WorldCat member libraries worldwide
Mixed, transmission, or crack problems belong to the analysis of boundary value problems on manifolds with singularities. The Zaremba problem with a jump between Dirichlet and Neumann conditions along an interface on the boundary is a classical example. The central theme of this book is to study mixed problems in standard Sobolev spaces as well as in weighted edge spaces where the interfaces are interpreted as edges. Parametrices and regularity of solutions are obtained within a systematic calculus of boundary value problems on manifolds with conical or edge singularities. This calculus allows singularities on the interface, and homotopies between mixed and crack problems. Additional edge conditions are computed in terms of relative index results. In a detailed final chapter, the intuitive ideas of the approach are illustrated, and there is a discussion of future challenges. A special feature of the text is the inclusion of many worked out examples which help the reader to appreciate the scope of the theory and to treat new cases of practical interest. This book is addressed to mathematicians and physicists interested in models with singularities, associated boundary value problems, and their solvability strategies based on pseudodifferential operators. The material is also useful for students in higher semesters and young researchers, as well as for experienced specialists working in analysis on manifolds with geometric singularities, the applications of index theory and spectral theory, operator algebras with symbolic structures, quantisation, and asymptotic analysis
11 editions published between 2007 and 2008 in English and held by 120 WorldCat member libraries worldwide
Mixed, transmission, or crack problems belong to the analysis of boundary value problems on manifolds with singularities. The Zaremba problem with a jump between Dirichlet and Neumann conditions along an interface on the boundary is a classical example. The central theme of this book is to study mixed problems in standard Sobolev spaces as well as in weighted edge spaces where the interfaces are interpreted as edges. Parametrices and regularity of solutions are obtained within a systematic calculus of boundary value problems on manifolds with conical or edge singularities. This calculus allows singularities on the interface, and homotopies between mixed and crack problems. Additional edge conditions are computed in terms of relative index results. In a detailed final chapter, the intuitive ideas of the approach are illustrated, and there is a discussion of future challenges. A special feature of the text is the inclusion of many worked out examples which help the reader to appreciate the scope of the theory and to treat new cases of practical interest. This book is addressed to mathematicians and physicists interested in models with singularities, associated boundary value problems, and their solvability strategies based on pseudodifferential operators. The material is also useful for students in higher semesters and young researchers, as well as for experienced specialists working in analysis on manifolds with geometric singularities, the applications of index theory and spectral theory, operator algebras with symbolic structures, quantisation, and asymptotic analysis
Pseudodifferential operators : partial differential equations and timefrequency analysis(
Book
)
7 editions published in 2007 in English and held by 115 WorldCat member libraries worldwide
7 editions published in 2007 in English and held by 115 WorldCat member libraries worldwide
Asymptotics for elliptic mixed boundary problems : pseudodifferential and Mellin operators in spaces with conormal singularity by
Stephan Rempel(
Book
)
8 editions published in 1989 in English and held by 100 WorldCat member libraries worldwide
8 editions published in 1989 in English and held by 100 WorldCat member libraries worldwide
Crack theory and edge singularities by
David Kapanadze(
Book
)
5 editions published in 2003 in English and Undetermined and held by 93 WorldCat member libraries worldwide
5 editions published in 2003 in English and Undetermined and held by 93 WorldCat member libraries worldwide
Pseudodifferential operators : complex analysis and partial differential equations : international workshop, York University,
Canada, August 48, 2008 by
BertWolfgang Schulze(
Book
)
20 editions published between 2009 and 2010 in English and held by 67 WorldCat member libraries worldwide
"This volume is an outgrowth of the international workshop entitled "PseudoDifferential Operators: Complex Analysis and Partial Differential Equations" held at York University on August 48, 2008. It consists of the expository paper based on the 6hour minicourse given by Professor BertWolfgang Schulze, and sixteen papers based on lectures given at the workshop and on invitations. While the focus is on the current developments of pseudodifferential operators in the context of complex analysis and partial differential equations, other topics related to the analysis, applications and computations of pseudodifferential operators are featured."Publisher's website
20 editions published between 2009 and 2010 in English and held by 67 WorldCat member libraries worldwide
"This volume is an outgrowth of the international workshop entitled "PseudoDifferential Operators: Complex Analysis and Partial Differential Equations" held at York University on August 48, 2008. It consists of the expository paper based on the 6hour minicourse given by Professor BertWolfgang Schulze, and sixteen papers based on lectures given at the workshop and on invitations. While the focus is on the current developments of pseudodifferential operators in the context of complex analysis and partial differential equations, other topics related to the analysis, applications and computations of pseudodifferential operators are featured."Publisher's website
The localization problem in index theory of elliptic operators by
V. E Nazaĭkinskiĭ(
Book
)
14 editions published between 2001 and 2014 in English and held by 34 WorldCat member libraries worldwide
This book deals with the localization approach to the index problem for elliptic operators. Localization ideas have been widely used for solving various specific index problems for a long time, but the fact that there is actually a fundamental localization principle underlying all these solutions has mostly passed unnoticed. The ignorance of this general principle has often necessitated using various artificial tricks and hindered the solution of important new problems in index theory. So far, the localization principle has scarcely been covered in journal papers. The present book is intended to fill this gap. Both the general localization principle and its applications to specific problems, old and new, are covered. Concisely and clearly written, this monograph includes numerous figures helping the reader to visualize the material. The Localization Problem in Index Theory of Elliptic Operators will be of interest to researchers as well as graduate and postgraduate students specializing in differential equations and related topics
14 editions published between 2001 and 2014 in English and held by 34 WorldCat member libraries worldwide
This book deals with the localization approach to the index problem for elliptic operators. Localization ideas have been widely used for solving various specific index problems for a long time, but the fact that there is actually a fundamental localization principle underlying all these solutions has mostly passed unnoticed. The ignorance of this general principle has often necessitated using various artificial tricks and hindered the solution of important new problems in index theory. So far, the localization principle has scarcely been covered in journal papers. The present book is intended to fill this gap. Both the general localization principle and its applications to specific problems, old and new, are covered. Concisely and clearly written, this monograph includes numerous figures helping the reader to visualize the material. The Localization Problem in Index Theory of Elliptic Operators will be of interest to researchers as well as graduate and postgraduate students specializing in differential equations and related topics
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Related Identities
 Demuth, Michael 1946 Other Author Editor
 Reissig, Michael Author Editor
 Sternin, B. I︠U︡ Editor
 Wong, M. W. (Man Wah) 1951 Editor
 Witt, Ingo Editor
 Nazaĭkinskiĭ, V. E. Author
 Schrohe, Elmar 1956 Other Author Editor
 Rempel, Stephan Author Editor
 Triebel, Hans Editor
 Gramsch, B. (Bernhard) 1938 Editor
Associated Subjects
Asymptotic expansions Biomathematics Boundary value problems Boundary value problemsAsymptotic theory Calculus Differential equations Differential equations, Elliptic Differential equations, EllipticAsymptotic theory Differential equations, Hyperbolic Differential equations, Partial Differential equations, PartialNumerical solutions Differential equationsQualitative theory Elliptic operators Fourier integral operators Functional analysis Function spaces Global analysis (Mathematics) Index theory (Mathematics) Ktheory Localization theory Manifolds (Mathematics) Mathematical analysis Mathematical physics Mathematics Mellin operators Numerical analysis Operator theory Partial differential operators Perturbation (Mathematics) Potential theory (Mathematics) Pseudodifferential operators Quantum groups Scattering (Mathematics) Schrödinger operator Singularities (Mathematics) Spectral theory (Mathematics) Stochastic analysis Timeseries analysis
Alternative Names
Schulze, B.W.
Schulze, B.W. 1944
Schulze, B.W. (BertWolfgang)
Schulze, B.Wolfgang.
Schulze, B.Wolfgang 1944
Schulze, B.Wolfgang (BertWolfgang)
Schulze, BertWolfgang 1944...
Šul'ce, B.V.
Šulʹce, B.V. 1944
Šulʹce, BertVolʹfgang 1944
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