Hodge decomposition : a method for solving boundary value problems
Author(s)
Bibliographic Information
Hodge decomposition : a method for solving boundary value problems
（Lecture notes in mathematics, 1607）
Springer-Verlag, c1995
Available at / 93 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1607RM950808
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Note
Includes bibliographical references (p. [147]-152) and index
Description and Table of Contents
Description
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.
Table of Contents
Analysis of differential forms.- The hodge decomposition.- Boundary value problems for differential forms.
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