Partial Differential Equations VI: Elliptic and Parabolic Operators: 63 (Encyclopaedia of Mathematical Sciences) - Softcover

9783642081170: Partial Differential Equations VI: Elliptic and Parabolic Operators: 63 (Encyclopaedia of Mathematical Sciences)

Softcover

ISBN 10: 3642081177 ISBN 13: 9783642081170

Verlag: Springer, 2010

This volume of the EMS contains three contributions covering topics in the field of partial differential equations. All the authors are well-known researchers and they present their material as accessible surveys, enabling readers to find comprehensive coverage of results which are scattered throughout the literature. For this reason the book is a unique source of information. It forms part of a multi-volume subseries of the EMS devoted to partial differential equations and it will be very useful to graduate students and researchers in mathematics and theoretical physics as well as engineers who are interested in this subject.

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Authored by well-known researchers, this book presents its material as accessible surveys, giving readers access to comprehensive coverage of results scattered throughout the literature. A unique source of information for graduate students and researchers in mathematics and theoretical physics, and engineers interested in the subject.

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Verlag: Springer
Erscheinungsdatum: 2010
Sprache: Englisch
ISBN 10: 3642081177
ISBN 13: 9783642081170
Einband: Tapa blanda
Anzahl der Seiten: 336
Herausgeber: Egorov Yu.V., Shubin M.A.
Kontakt zum Hersteller: Nicht verf�gbar
Verantwortliche Person: CMN Printpool Inh. Mathis Neumann
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9783540546788: Partial Differential Equations VI: Elliptic and Parabolic Operators: 63 (Encyclopaedia of Mathematical Sciences)

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ISBN 10: 3540546782 ISBN 13: 9783540546788
Verlag: Springer, 1994
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Partial Differential Equations VI

Verlag: Springer Berlin Heidelberg, 2010

ISBN 10: 3642081177 ISBN 13: 9783642081170

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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Authored by well-known researchers, this book presents its material as accessible surveys, giving readers access to comprehensive coverage of results scattered throughout the literature. A unique source of information for graduate students and researcher. Bestandsnummer des Verk�ufers 5047164

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Partial Differential Equations VI : Elliptic and Parabolic Operators

Yu. V. Egorov

Verlag: Springer Berlin Heidelberg, 2010

ISBN 10: 3642081177 ISBN 13: 9783642081170

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 0. 1. The Scope of the Paper. This article is mainly devoted to the oper ators indicated in the title. More specifically, we consider elliptic differential and pseudodifferential operators with infinitely smooth symbols on infinitely smooth closed manifolds, i. e. compact manifolds without boundary. We also touch upon some variants of the theory of elliptic operators in !Rn. A separate article (Agranovich 1993) will be devoted to elliptic boundary problems for elliptic partial differential equations and systems. We now list the main topics discussed in the article. First of all, we ex pound theorems on Fredholm property of elliptic operators, on smoothness of solutions of elliptic equations, and, in the case of ellipticity with a parame ter, on their unique solvability. A parametrix for an elliptic operator A (and A-). . J) is constructed by means of the calculus of pseudodifferential also for operators in !Rn, which is first outlined in a simple case with uniform in x estimates of the symbols. As functional spaces we mainly use Sobolev � - 2 spaces. We consider functions of elliptic operators and in more detail some simple functions and the properties of their kernels. This forms a foundation to discuss spectral properties of elliptic operators which we try to do in maxi mal generality, i. e. , in general, without assuming selfadjointness. This requires presenting some notions and theorems of the theory of nonselfadjoint linear operators in abstract Hilbert space. Bestandsnummer des Verk�ufers 9783642081170

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Partial Differential Equations VI

Yu. V. Egorov

Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Dez 2010, 2010

ISBN 10: 3642081177 ISBN 13: 9783642081170

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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -0. 1. The Scope of the Paper. This article is mainly devoted to the oper ators indicated in the title. More specifically, we consider elliptic differential and pseudodifferential operators with infinitely smooth symbols on infinitely smooth closed manifolds, i. e. compact manifolds without boundary. We also touch upon some variants of the theory of elliptic operators in !Rn. A separate article (Agranovich 1993) will be devoted to elliptic boundary problems for elliptic partial differential equations and systems. We now list the main topics discussed in the article. First of all, we ex pound theorems on Fredholm property of elliptic operators, on smoothness of solutions of elliptic equations, and, in the case of ellipticity with a parame ter, on their unique solvability. A parametrix for an elliptic operator A (and A-). . J) is constructed by means of the calculus of pseudodifferential also for operators in !Rn, which is first outlined in a simple case with uniform in x estimates of the symbols. As functional spaces we mainly use Sobolev � - 2 spaces. We consider functions of elliptic operators and in more detail some simple functions and the properties of their kernels. This forms a foundation to discuss spectral properties of elliptic operators which we try to do in maxi mal generality, i. e. , in general, without assuming selfadjointness. This requires presenting some notions and theorems of the theory of nonselfadjoint linear operators in abstract Hilbert space.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 340 pp. Englisch. Bestandsnummer des Verk�ufers 9783642081170

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Partial Differential Equations VI

Yu. V. Egorov

Verlag: Springer Berlin Heidelberg Dez 2010, 2010

ISBN 10: 3642081177 ISBN 13: 9783642081170

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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -0. 1. The Scope of the Paper. This article is mainly devoted to the oper ators indicated in the title. More specifically, we consider elliptic differential and pseudodifferential operators with infinitely smooth symbols on infinitely smooth closed manifolds, i. e. compact manifolds without boundary. We also touch upon some variants of the theory of elliptic operators in !Rn. A separate article (Agranovich 1993) will be devoted to elliptic boundary problems for elliptic partial differential equations and systems. We now list the main topics discussed in the article. First of all, we ex pound theorems on Fredholm property of elliptic operators, on smoothness of solutions of elliptic equations, and, in the case of ellipticity with a parame ter, on their unique solvability. A parametrix for an elliptic operator A (and A-). . J) is constructed by means of the calculus of pseudodifferential also for operators in !Rn, which is first outlined in a simple case with uniform in x estimates of the symbols. As functional spaces we mainly use Sobolev � - 2 spaces. We consider functions of elliptic operators and in more detail some simple functions and the properties of their kernels. This forms a foundation to discuss spectral properties of elliptic operators which we try to do in maxi mal generality, i. e. , in general, without assuming selfadjointness. This requires presenting some notions and theorems of the theory of nonselfadjoint linear operators in abstract Hilbert space. 340 pp. Englisch. Bestandsnummer des Verk�ufers 9783642081170

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