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Hodge Decomposition - A Method for Solving Boundary Value Problems

Name: Hodge Decomposition - A Method for Solving Boundary Value Problems
Brand: Springer, Berlin
SKU: 01565977
Price: 39.09 EUR
Availability: InStock
Author: Günter Schwarz
ISBN: 9783540600169

Günter Schwarz

Jezik

Angleščina

Knjiga Mehka

Koda Libristo: 01565977

Založba Springer, Berlin, november 1994

Hodge theory is a standard tool in characterizing differ- ential complexes and the topology of manif... Celoten opis

Koda Libristo: 01565977

95 b

39.09 €

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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.