Schulze, BertWolfgang
Overview
Works:  249 works in 532 publications in 2 languages and 6,482 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Creator, Publishing director 
Classifications:  QA329.7, 515.7242 
Publication Timeline
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Most widely held works by
BertWolfgang Schulze
Boundary value problems and singular pseudodifferential operators
by
BertWolfgang Schulze(
)
9 editions published between 1998 and 1999 in English and held by 1,057 WorldCat member libraries worldwide
9 editions published between 1998 and 1999 in English and held by 1,057 WorldCat member libraries worldwide
New trends in the theory of hyperbolic equations advances in partial differential equations
by
Michael Reissig(
)
31 editions published between 2005 and 2006 in English and held by 734 WorldCat member libraries worldwide
Presenting several developments in the theory of hyperbolic equations, this book's contributions deal with questions of low regularity, critical growth, illposedness, decay estimates for solutions of different nonlinear hyperbolic models, and introduce new approaches based on microlocal methods
31 editions published between 2005 and 2006 in English and held by 734 WorldCat member libraries worldwide
Presenting several developments in the theory of hyperbolic equations, this book's contributions deal with questions of low regularity, critical growth, illposedness, decay estimates for solutions of different nonlinear hyperbolic models, and introduce new approaches based on microlocal methods
Partial differential equations and spectral theory
by
Michael Demuth(
)
15 editions published in 2011 in English and held by 421 WorldCat member libraries worldwide
This volume collects six articles on selected topics at the frontier between partial differential equations and spectral theory, written by leading specialists in their respective field. The articles focus on topics that are in the center of attention of current research, with original contributions from the authors. They are written in a clear expository style that makes them accessible to a broader audience. The articles contain a detailed introduction and discuss recent progress, provide additional motivation, and develop the necessary tools. Moreover, the authors share their views on futur
15 editions published in 2011 in English and held by 421 WorldCat member libraries worldwide
This volume collects six articles on selected topics at the frontier between partial differential equations and spectral theory, written by leading specialists in their respective field. The articles focus on topics that are in the center of attention of current research, with original contributions from the authors. They are written in a clear expository style that makes them accessible to a broader audience. The articles contain a detailed introduction and discuss recent progress, provide additional motivation, and develop the necessary tools. Moreover, the authors share their views on futur
Pseudodifferential operators complex analysis and partial differential equations : international workshop, York University, Canada, August 48, 2008
by
BertWolfgang Schulze(
)
12 editions published between 2009 and 2010 in English and held by 412 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
12 editions published between 2009 and 2010 in English and held by 412 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
Pseudodifferential operators on manifolds with singularities
by
BertWolfgang Schulze(
Book
)
11 editions published in 1991 in English and held by 340 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
11 editions published in 1991 in English and held by 340 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
The localization problem in index theory of elliptic operators
by
V. E Nazaĭkinskiĭ(
)
11 editions published between 2001 and 2014 in English and held by 298 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
11 editions published between 2001 and 2014 in English and held by 298 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
Pseudodifferential operators, singularities, applications
by
I︠U︡. V Egorov(
Book
)
9 editions published in 1997 in English and Undetermined and held by 208 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
9 editions published in 1997 in English and Undetermined and held by 208 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 in 1977 in German and English and held by 202 WorldCat member libraries worldwide
13 editions published in 1977 in German and English and held by 202 WorldCat member libraries worldwide
Index theory of elliptic boundary problems
by
Stephan Rempel(
Book
)
9 editions published between 1982 and 1985 in English and held by 198 WorldCat member libraries worldwide
9 editions published between 1982 and 1985 in English and held by 198 WorldCat member libraries worldwide
Operator calculus and spectral theory : Symposium on Operator Calculus and Spectral Theory, Lambrecht, Germany, December 1991
by Michael Demuth(
Book
)
8 editions published in 1992 in English and held by 172 WorldCat member libraries worldwide
8 editions published in 1992 in English and held by 172 WorldCat member libraries worldwide
Partial differential equations and spectral theory : PDE2000 Conference in Clausthal, Germany
by
Michael Demuth(
Book
)
9 editions published in 2001 in English and held by 168 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
9 editions published in 2001 in English and held by 168 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
Partial differential operators and mathematical physics : international conference in Holzhau, Germany, July 39, 1994
(
Book
)
3 editions published in 1995 in English and held by 165 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
3 editions published in 1995 in English and held by 165 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
)
8 editions published in 1998 in English and held by 146 WorldCat member libraries worldwide
8 editions published in 1998 in English and held by 146 WorldCat member libraries worldwide
Partial differential equations : models in physics and biology
(
Book
)
5 editions published in 1994 in English and German and held by 133 WorldCat member libraries worldwide
5 editions published in 1994 in English and German 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 131 WorldCat member libraries worldwide
7 editions published between 1994 and 1999 in English and held by 131 WorldCat member libraries worldwide
Pseudodifferential boundary value problems, conical singularities, and asymptotics
by
BertWolfgang Schulze(
Book
)
7 editions published in 1994 in English and held by 126 WorldCat member libraries worldwide
7 editions published in 1994 in English and held by 126 WorldCat member libraries worldwide
Boundary value problems, Schrödinger operators, deformation quantization
(
Book
)
6 editions published between 1995 and 1996 in English and held by 119 WorldCat member libraries worldwide
6 editions published between 1995 and 1996 in English and held by 119 WorldCat member libraries worldwide
Pseudodifferential operators : partial differential equations and timefrequency analysis
(
Book
)
5 editions published in 2007 in English and held by 113 WorldCat member libraries worldwide
5 editions published in 2007 in English and held by 113 WorldCat member libraries worldwide
Crack theory and edge singularities
by
David Kapanadze(
Book
)
8 editions published between 2003 and 2011 in English and Undetermined and held by 113 WorldCat member libraries worldwide
The book studies boundary value problems connected with geometric singularities and models of the crack theory. New and interesting phenomena on the behaviour of solutions (regularity in weighted spaces, asymptotics) are analysed by means of parametrices obtained by inverting corresponding scalar and operatorvalued symbols. Compared with other expositions in the field of crack theory and analysis on configurations with singularities the present book systematically develops for the first time an approach in terms of algebras of (pseudodifferential) boundary value problems. The calculus is decomposed into a number of simpler structures, namely boundary value problems (Chapter 1) and edge problems near the crack boundary (Chapter 4). Necessary tools on parameterdependent cone operators (Chapter 2) and operators on spaces with conical exits to infinity (Chapter 3) are developed as theories of independent interest. The crack theory (Chapter 5) then appears as an application of the edge calculus. The book is addressed to mathematicians and physicists interested in boundary value problems, geometric singularities, asymptotic analysis, as well as to specialists in the field of crack theory and other singular models
8 editions published between 2003 and 2011 in English and Undetermined and held by 113 WorldCat member libraries worldwide
The book studies boundary value problems connected with geometric singularities and models of the crack theory. New and interesting phenomena on the behaviour of solutions (regularity in weighted spaces, asymptotics) are analysed by means of parametrices obtained by inverting corresponding scalar and operatorvalued symbols. Compared with other expositions in the field of crack theory and analysis on configurations with singularities the present book systematically develops for the first time an approach in terms of algebras of (pseudodifferential) boundary value problems. The calculus is decomposed into a number of simpler structures, namely boundary value problems (Chapter 1) and edge problems near the crack boundary (Chapter 4). Necessary tools on parameterdependent cone operators (Chapter 2) and operators on spaces with conical exits to infinity (Chapter 3) are developed as theories of independent interest. The crack theory (Chapter 5) then appears as an application of the edge calculus. The book is addressed to mathematicians and physicists interested in boundary value problems, geometric singularities, asymptotic analysis, as well as to specialists in the field of crack theory and other singular models
Quantization methods in differential equations
by
V. E Nazaĭkinskiĭ(
Book
)
5 editions published in 2002 in English and held by 106 WorldCat member libraries worldwide
This volume presents a systematic, mathematically rigorous exposition of methods for studying linear partial differential equations on the basis of quantization of the corresponding objects in the phase space
5 editions published in 2002 in English and held by 106 WorldCat member libraries worldwide
This volume presents a systematic, mathematically rigorous exposition of methods for studying linear partial differential equations on the basis of quantization of the corresponding objects in the phase space
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Related Identities
 Demuth, Michael 1946 Author Editor
 Reissig, Michael Author Editor
 Sternin, B. I︠U︡ Editor
 Wong, M. W. (Man Wah) 1951 Editor
 Witt, Ingo Editor
 Nazaĭkinskiĭ, V. E. Author
 Rempel, Stephan Author Editor
 Schrohe, Elmar 1956 Author Editor
 Triebel, Hans Editor
 Wildenhain, Günther
Associated Subjects
Asymptotic expansions Biomathematics Boundary value problems Differential equations Differential equations, Elliptic Differential equations, Hyperbolic Differential equations, Linear Differential equations, Partial Differential equations, PartialNumerical solutions Differential equationsQualitative theory Elliptic operators Fourier integral operators Functional analysis Geometric quantization Index theory (Mathematics) Ktheory Localization theory Manifolds (Mathematics) Mathematical physics Mathematics 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