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Hodge Decomposition - A Method for Solving Boundary Value Problems

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Hodge Decomposition - A Method for Solving Boundary Value Problems

By Schwarz Gunter, Schwarz Gnter, Schwarz Ga1/4nter

 
 
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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.Detailed info »« Brief info

Additional Information

Publisher: Springer
Publication Date: 8/31/1995
ISBN: 9783540600169
Ean: 3540600167
Paperback:155 pages
Language:English
Physical Info:6.14 x 0.37 x 9.21 inches, (0.55 lbs)
Categories:Differential Equations - Partial Differential Equations | Mathematical Analysis | Topology - General
Dewey:515.353
LCCN:95021170
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