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Sinossi
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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Contenuti
Analysis of differential forms.- The hodge decomposition.- Boundary value problems for differential forms.
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Book by Schwarz Gnter
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Hodge Decomposition - A Method for Solving Boundary Value Problems (Lecture Notes in Mathematics, 1607)
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Paperback. Condizione: new. Paperback. 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. Hodge theory is a standard tool in characterizing differ- ential complexes and the topology of manifolds. A projection technique leads to existence and regularity theorems for a wide class of boundary value problems for differential forms and vector fields. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9783540600169
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Hodge Decomposition - A Method for Solving Boundary Value Problems
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Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 1995
ISBN 10: 3540600167
ISBN 13: 9783540600169
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Paperback. Condizione: New. 1995 ed. 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. Codice articolo LU-9783540600169
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