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Hodge Decomposition - A Method for Solving Boundary Value Problems

Language EnglishEnglish
Book Paperback
Book Hodge Decomposition - A Method for Solving Boundary Value Problems Günter Schwarz
Libristo code: 01565977
Publishers Springer, Berlin, November 1994
Hodge theory is a standard tool in characterizing differ- ential complexes and the topology of manif... Full description
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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.

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About the book

Full name Hodge Decomposition - A Method for Solving Boundary Value Problems
Author Günter Schwarz
Language English
Binding Book - Paperback
Date of issue 1995
Number of pages 164
EAN 9783540600169
ISBN 3540600167
Libristo code 01565977
Publishers Springer, Berlin
Weight 288
Dimensions 156 x 234 x 9

Categories

Mathematics & Science > Mathematics > Calculus & mathematical analysis > Differential calculus & equations
Mathematics & Science > Mathematics > Geometry > Analytic geometry
Mathematics & Science > Mathematics > Topology > Analytic topology
Mathematics & Science > Mathematics > Applied mathematics > Stochastics
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