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Hodge Decomposition - A Method for Solving Boundary Value Problems (Lecture Notes in Mathematics, 1607)

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Management number 231718440 Release Date 2026/06/18 List Price $13.69 Model Number 231718440
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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. Read more

ISBN10 3540600167
ISBN13 978-3540600169
Edition 1995th
Language English
Publisher Springer
Dimensions 6.1 x 0.39 x 9.25 inches
Item Weight 9 ounces
Print length 172 pages
Publication date July 14, 1995

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