Author: Stephen Rempel
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 418
Book Description
Index Theory of Elliptic Boundary Problems
Author: Stephen Rempel
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 418
Book Description
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 418
Book Description
Index Theory of Elliptic Boundary Problems
Author: Stephan Rempel
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311270715X
Category : Mathematics
Languages : en
Pages : 396
Book Description
No detailed description available for "Index Theory of Elliptic Boundary Problems".
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311270715X
Category : Mathematics
Languages : en
Pages : 396
Book Description
No detailed description available for "Index Theory of Elliptic Boundary Problems".
Elliptic Boundary Problems for Dirac Operators
Author: Bernhelm Booß-Bavnbek
Publisher: Springer Science & Business Media
ISBN: 1461203376
Category : Mathematics
Languages : en
Pages : 322
Book Description
Elliptic boundary problems have enjoyed interest recently, espe cially among C* -algebraists and mathematical physicists who want to understand single aspects of the theory, such as the behaviour of Dirac operators and their solution spaces in the case of a non-trivial boundary. However, the theory of elliptic boundary problems by far has not achieved the same status as the theory of elliptic operators on closed (compact, without boundary) manifolds. The latter is nowadays rec ognized by many as a mathematical work of art and a very useful technical tool with applications to a multitude of mathematical con texts. Therefore, the theory of elliptic operators on closed manifolds is well-known not only to a small group of specialists in partial dif ferential equations, but also to a broad range of researchers who have specialized in other mathematical topics. Why is the theory of elliptic boundary problems, compared to that on closed manifolds, still lagging behind in popularity? Admittedly, from an analytical point of view, it is a jigsaw puzzle which has more pieces than does the elliptic theory on closed manifolds. But that is not the only reason.
Publisher: Springer Science & Business Media
ISBN: 1461203376
Category : Mathematics
Languages : en
Pages : 322
Book Description
Elliptic boundary problems have enjoyed interest recently, espe cially among C* -algebraists and mathematical physicists who want to understand single aspects of the theory, such as the behaviour of Dirac operators and their solution spaces in the case of a non-trivial boundary. However, the theory of elliptic boundary problems by far has not achieved the same status as the theory of elliptic operators on closed (compact, without boundary) manifolds. The latter is nowadays rec ognized by many as a mathematical work of art and a very useful technical tool with applications to a multitude of mathematical con texts. Therefore, the theory of elliptic operators on closed manifolds is well-known not only to a small group of specialists in partial dif ferential equations, but also to a broad range of researchers who have specialized in other mathematical topics. Why is the theory of elliptic boundary problems, compared to that on closed manifolds, still lagging behind in popularity? Admittedly, from an analytical point of view, it is a jigsaw puzzle which has more pieces than does the elliptic theory on closed manifolds. But that is not the only reason.
The Localization Problem in Index Theory of Elliptic Operators
Author: Vladimir Nazaikinskii
Publisher: Springer Science & Business Media
ISBN: 3034805101
Category : Mathematics
Languages : en
Pages : 122
Book Description
The 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 new important problems in index theory. So far, the localization principle has been only scarcely covered in journal papers and not covered at all in monographs. The suggested book is intended to fill the gap. So far, it is the first and only monograph dealing with the topic. Both the general localization principle and its applications to specific problems, existing and new, are covered. The book will be of interest to working mathematicians as well as graduate and postgraduate university students specializing in differential equations and related topics.
Publisher: Springer Science & Business Media
ISBN: 3034805101
Category : Mathematics
Languages : en
Pages : 122
Book Description
The 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 new important problems in index theory. So far, the localization principle has been only scarcely covered in journal papers and not covered at all in monographs. The suggested book is intended to fill the gap. So far, it is the first and only monograph dealing with the topic. Both the general localization principle and its applications to specific problems, existing and new, are covered. The book will be of interest to working mathematicians as well as graduate and postgraduate university students specializing in differential equations and related topics.
Boundary Value Problems for Elliptic Systems
Author: J. T. Wloka
Publisher: Cambridge University Press
ISBN: 0521430119
Category : Mathematics
Languages : en
Pages : 659
Book Description
The theory of boundary value problems for elliptic systems of partial differential equations has many applications in mathematics and the physical sciences. The aim of this book is to "algebraize" the index theory by means of pseudo-differential operators and new methods in the spectral theory of matrix polynomials. This latter theory provides important tools that will enable the student to work efficiently with the principal symbols of the elliptic and boundary operators on the boundary. Because many new methods and results are introduced and used throughout the book, all the theorems are proved in detail, and the methods are well illustrated through numerous examples and exercises. This book is ideal for use in graduate level courses on partial differential equations, elliptic systems, pseudo-differential operators, and matrix analysis.
Publisher: Cambridge University Press
ISBN: 0521430119
Category : Mathematics
Languages : en
Pages : 659
Book Description
The theory of boundary value problems for elliptic systems of partial differential equations has many applications in mathematics and the physical sciences. The aim of this book is to "algebraize" the index theory by means of pseudo-differential operators and new methods in the spectral theory of matrix polynomials. This latter theory provides important tools that will enable the student to work efficiently with the principal symbols of the elliptic and boundary operators on the boundary. Because many new methods and results are introduced and used throughout the book, all the theorems are proved in detail, and the methods are well illustrated through numerous examples and exercises. This book is ideal for use in graduate level courses on partial differential equations, elliptic systems, pseudo-differential operators, and matrix analysis.
AN INDEX THEOREM FOR ELLIPTIC BOUNDARY PROBLEMS.
Author: JOHN JAMES HINRICHSEN
Publisher:
ISBN:
Category :
Languages : en
Pages : 101
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 101
Book Description
The Index Theorem for Manifolds with Cylindrical Ends and Elliptic Boundary Value Problems
Author: Fangbing Wu
Publisher:
ISBN:
Category :
Languages : en
Pages : 160
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 160
Book Description
Partial Differential Equations IX
Author: M.S. Agranovich
Publisher: Springer Science & Business Media
ISBN: 3662067218
Category : Mathematics
Languages : en
Pages : 287
Book Description
This EMS volume gives an overview of the modern theory of elliptic boundary value problems, with contributions focusing on differential elliptic boundary problems and their spectral properties, elliptic pseudodifferential operators, and general differential elliptic boundary value problems in domains with singularities.
Publisher: Springer Science & Business Media
ISBN: 3662067218
Category : Mathematics
Languages : en
Pages : 287
Book Description
This EMS volume gives an overview of the modern theory of elliptic boundary value problems, with contributions focusing on differential elliptic boundary problems and their spectral properties, elliptic pseudodifferential operators, and general differential elliptic boundary value problems in domains with singularities.
Aspects of Boundary Problems in Analysis and Geometry
Author: Juan Gil
Publisher: Birkhäuser
ISBN: 3034878508
Category : Mathematics
Languages : en
Pages : 574
Book Description
Boundary problems constitute an essential field of common mathematical interest, they lie in the center of research activities both in analysis and geometry. This book encompasses material from both disciplines, and focuses on their interactions which are particularly apparent in this field. Moreover, the survey style of the contributions makes the topics accessible to a broad audience with a background in analysis or geometry, and enables the reader to get a quick overview.
Publisher: Birkhäuser
ISBN: 3034878508
Category : Mathematics
Languages : en
Pages : 574
Book Description
Boundary problems constitute an essential field of common mathematical interest, they lie in the center of research activities both in analysis and geometry. This book encompasses material from both disciplines, and focuses on their interactions which are particularly apparent in this field. Moreover, the survey style of the contributions makes the topics accessible to a broad audience with a background in analysis or geometry, and enables the reader to get a quick overview.
Elliptic Problems in Nonsmooth Domains
Author: Pierre Grisvard
Publisher: SIAM
ISBN: 1611972027
Category : Mathematics
Languages : en
Pages : 426
Book Description
Originally published: Boston: Pitman Advanced Pub. Program, 1985.
Publisher: SIAM
ISBN: 1611972027
Category : Mathematics
Languages : en
Pages : 426
Book Description
Originally published: Boston: Pitman Advanced Pub. Program, 1985.