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Cover: 9783540600169 | Hodge Decomposition - A Method for Solving Boundary Value Problems
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Hodge Decomposition - A Method for Solving Boundary Value Problems
Taschenbuch von Günter Schwarz
Sprache: Englisch

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Beschreibung
Hodge theory is a standard tool in characterizing differ- ential complexes and the topology of manifolds. This book is a study of the Hodge-Kodaira and related decompositions on manifolds with boundary under mainly analytic aspects. It aims at developing a method for solving boundary value problems. Analysing a Dirichlet form on the exterior algebra bundle allows to give a refined version of the classical decomposition results of Morrey. A projection technique leads to existence and regularity theorems for a wide class of boundary value problems for differential forms and vector fields. The book links aspects of the geometry of manifolds with the theory of partial differential equations. It is intended to be comprehensible for graduate students and mathematicians working in either of these fields.
Hodge theory is a standard tool in characterizing differ- ential complexes and the topology of manifolds. This book is a study of the Hodge-Kodaira and related decompositions on manifolds with boundary under mainly analytic aspects. It aims at developing a method for solving boundary value problems. Analysing a Dirichlet form on the exterior algebra bundle allows to give a refined version of the classical decomposition results of Morrey. A projection technique leads to existence and regularity theorems for a wide class of boundary value problems for differential forms and vector fields. The book links aspects of the geometry of manifolds with the theory of partial differential equations. It is intended to be comprehensible for graduate students and mathematicians working in either of these fields.
Inhaltsverzeichnis
Analysis of differential forms.- The hodge decomposition.- Boundary value problems for differential forms.
Details
Erscheinungsjahr: 1995
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: viii
164 S.
ISBN-13: 9783540600169
ISBN-10: 3540600167
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Schwarz, Günter
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 10 mm
Von/Mit: Günter Schwarz
Erscheinungsdatum: 14.07.1995
Gewicht: 0,271 kg
Artikel-ID: 101709130
Inhaltsverzeichnis
Analysis of differential forms.- The hodge decomposition.- Boundary value problems for differential forms.
Details
Erscheinungsjahr: 1995
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: viii
164 S.
ISBN-13: 9783540600169
ISBN-10: 3540600167
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Schwarz, Günter
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 10 mm
Von/Mit: Günter Schwarz
Erscheinungsdatum: 14.07.1995
Gewicht: 0,271 kg
Artikel-ID: 101709130
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