Kniha Hodge Decomposition - A Method for Solving Boundary Value Problems Günter Schwarz

Hodge Decomposition - A Method for Solving Boundary Value Problems

Jazyk: Angličtina
Vazba: Brožovaná
Vydavatel: Springer, Berlin
Dostupnost: Skladem u dodavatele
Odesíláme za 5-8 dnů
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Hodge theory is a standard tool in characterizing differ- ential complexes and the topology of manif...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
1995
Stránek
164
EAN
9783540600169
ISBN
3540600167
Enbook ID
01565977
Vydavatel
Hmotnost
288
Rozměry
156 x 234 x 9

Kompletní popis

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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