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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 - Schwarz, Günter
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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 ...

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Hodge Decomposition - A Method for Solving Boundary Value Problems 1995, Springer, Berlin, Heidelberg

ISBN-13: 9783540600169

1995 edition

Trade paperback