Hodge Decomposition - A Method for Solving Boundary Value Problems

Günter Schwarz

ISBN 10: 3540600167 / ISBN 13: 9783540600169

Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 1995, 1995

Beschreibung

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 172 pp. Englisch.

Bestandsnummer des Verkäufers 9783540600169

Bibliografische Details

• Titel: Hodge Decomposition - A Method for Solving Boundary Value Problems
• Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 1995
• Erscheinungsjahr: 1995
• Sprache: Englisch
• ISBN-10: 3540600167
• ISBN-13: 9783540600169
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 235B x 155 H x 10 T Millimeter Breite: 235 mm, Höhe: 155 mm, Tiefe: 10 mm
• Gewicht: 271 Gramm

Über diesen Titel

Inhaltsangabe

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.