Hodge Decomposition - A Method for Solving Boundary Value Problems: 1607 (Lecture Notes in Mathematics, 1607) - Softcover
Synopsis
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.
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Hodge Decomposition - A Method for Solving Boundary Value Problems
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ISBN 13: 9783540600169
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Paperback. Condition: New. 1995 ed. Hodge theory is a standard theory in characterizing differential complexes and the topology of manifolds. This text is a study of the Hodge-Kodaira and related decompositions on manifolds with boundary under mainly analytic aspects and aims at developing a method for solving boundary value problems. Analyzing a Dirichlet form on the exterior algebra bundle allows to give a refined version of the classical decompostion results of Morrey. A projection technique leads to existence and regularity theorems for a wide class of boundary vlaue 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. Seller Inventory # LU-9783540600169
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Hodge Decomposition - A Method for Solving Boundary Value Problems
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Springer Berlin Heidelberg Jul 1995, 1995
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ISBN 13: 9783540600169
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 172 pp. Englisch. Seller Inventory # 9783540600169
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Hodge Decomposition - A Method for Solving Boundary Value Problems (Lecture Notes in Mathematics, 1607, Band 1607)
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Berlin. Springer Verlag., 1995
ISBN 10: 3540600167
ISBN 13: 9783540600169
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