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Hodge Decomposition: A Method for Solving Boundary Value Problems

by

Hodge Decomposition: A Method for Solving Boundary Value Problems Cover

 

Synopses & Reviews

Publisher Comments:

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.

Description:

Includes bibliographical references (p. [147]-152) and index.

Product Details

ISBN:
9783540600169
Author:
Schwarz, Gunter
Publisher:
Springer
Author:
nter Schwarz
Author:
uuml
Author:
Schwarz, Gnter
Author:
&
Author:
Schwarz, Ga1/4nter
Author:
nter
Author:
G .
Author:
Schwarz, G.
Location:
Berlin, Heidelberg
Subject:
Boundary value problems
Subject:
Decomposition (mathematics)
Subject:
Hodge theory.
Subject:
Decomposition
Subject:
Numerical solutions
Subject:
Differential Equations - Partial Differential Equations
Subject:
Mathematical Analysis
Subject:
Topology - General
Subject:
Potential theory
Subject:
Manifolds and Cell Complexes (incl. Diff.Topology)
Subject:
Vector Analysis
Subject:
General-General
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Potential theory (mathematics)
Subject:
Cell aggregation_xMathematics
Copyright:
Edition Description:
Book
Series:
Lecture Notes in Mathematics
Series Volume:
1607
Publication Date:
19950825
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
172
Dimensions:
235 x 155 mm 550 gr

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Product details 172 pages Springer-Verlag New York, Incorporated - English 9783540600169 Reviews:
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