Hodge Decomposition - A Method for Solving Boundary Value Problems

Language: English

Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 1995

3540600167 / 9783540600169

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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.

Seller Inventory # LU-9783540600169

Title
Hodge Decomposition - A Method for Solving Boundary Value Problems
Author
Günter Schwarz
Publisher
Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE
Publication year
1995
Condition
New
Binding
Paperback
Language
English
ISBN 10
3540600167
ISBN 13
9783540600169
Edition
1995 ed.
Dimensions
15.49 x 0.99 x 23.5 cm

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