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Lecture Notes in Mathematics

Hodge Decomposition - A Method for Solving Boundary Value Problems

Authors: Schwarz, Günter

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About this book

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 (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $39.99
price for USA in USD (gross)
  • ISBN 978-3-540-49403-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA in USD
  • ISBN 978-3-540-60016-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Hodge Decomposition - A Method for Solving Boundary Value Problems
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1607
Copyright
1995
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-49403-4
DOI
10.1007/BFb0095978
Softcover ISBN
978-3-540-60016-9
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VIII, 164
Topics