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

Hodge Decomposition - A Method for Solving Boundary Value Problems

Jazyk: Angličtina
Väzba: Brožovaná
Vydavateľ: Springer, Berlin
Dostupnosť: Skladom u dodávateľa
Odosielame za 5-8 dní
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Hodge theory is a standard tool in characterizing differ- ential complexes and the topology of manif...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Brožovaná
Vydalo
1995
Stránok
164
EAN
9783540600169
ISBN
3540600167
Enbook ID
01565977
Vydavateľ
Hmotnosť
288
Rozmery
156 x 234 x 9

Kompletný 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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