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Hodge Decomposition - A Method for Solving Boundary Value Problems (Lecture Notes in Mathematics)

Günter Schwarz




[PDF.cn34] Hodge Decomposition - A Method for Solving Boundary Value Problems (Lecture Notes in Mathematics)

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 | #3408725 in Books |  Springer |  2009-02-22 | Original language:English | PDF # 1 |  9.25 x.39 x6.10l,.55 | File type: PDF | 164 pages

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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 e...

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