Coverart for item
The Resource Hodge decomposition : a method for solving boundary value problems, Günter Schwarz

Hodge decomposition : a method for solving boundary value problems, Günter Schwarz

Label
Hodge decomposition : a method for solving boundary value problems
Title
Hodge decomposition
Title remainder
a method for solving boundary value problems
Statement of responsibility
Günter Schwarz
Creator
Subject
Language
eng
Summary
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
Member of
Cataloging source
SPLNM
http://library.link/vocab/creatorDate
1959-
http://library.link/vocab/creatorName
Schwarz, Günter
Dewey number
  • 510 s
  • 515/.353
Index
index present
LC call number
  • QA3
  • QA379
LC item number
.L28 no. 1607
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1607
http://library.link/vocab/subjectName
  • Boundary value problems
  • Hodge theory
  • Decomposition (Mathematics)
  • Boundary value problems
  • Decomposition (Mathematics)
  • Hodge theory
  • Randwaardeproblemen
  • Potentiaaltheorie
  • Randwertproblem
  • Numerisches Verfahren
  • Differentialform
  • Zerlegung
  • Hodge-Theorie
Label
Hodge decomposition : a method for solving boundary value problems, Günter Schwarz
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 147-152) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ch. 1. Analysis of Differential Forms. 1.1. Manifolds with boundary. 1.2. Differential forms. 1.3. Sobolev spaces. 1.4. Weighted Sobolev spaces. 1.5. Elements of the functional analysis. 1.6. Elliptic boundary value problems -- Ch. 2. The Hodge Decomposition. 1.1. Stokes' theorem, the Dirichlet integral and Gaffney's inequalities. 2.2. The Dirichlet and the Neumann potential. 2.3. Regularity of the potential. 2.4. Hodge decomposition on compact [delta]-manifolds. 2.5. Hodge decomposition on exterior domains. 2.6. Elements of de Rham cohomology theory -- Appendix: On the smooth deformation of Hilbert space decompositions / J. Wenzelburger -- Ch. 3. Boundary Value Problems for Differential Forms. 3.1. The Dirichlet problem for the exterior derivative. 3.2. First order boundary value problems on [actual symbol not reproducible]. 3.3. General inhomogeneous boundary conditions. 3.4. Harmonic fields, harmonic forms and the Poisson equation. 3.5. Vector analysis
Control code
294873438
Dimensions
unknown
Extent
1 online resource (155 pages).
Form of item
online
Isbn
9783540494034
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)294873438
Label
Hodge decomposition : a method for solving boundary value problems, Günter Schwarz
Publication
Bibliography note
Includes bibliographical references (pages 147-152) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ch. 1. Analysis of Differential Forms. 1.1. Manifolds with boundary. 1.2. Differential forms. 1.3. Sobolev spaces. 1.4. Weighted Sobolev spaces. 1.5. Elements of the functional analysis. 1.6. Elliptic boundary value problems -- Ch. 2. The Hodge Decomposition. 1.1. Stokes' theorem, the Dirichlet integral and Gaffney's inequalities. 2.2. The Dirichlet and the Neumann potential. 2.3. Regularity of the potential. 2.4. Hodge decomposition on compact [delta]-manifolds. 2.5. Hodge decomposition on exterior domains. 2.6. Elements of de Rham cohomology theory -- Appendix: On the smooth deformation of Hilbert space decompositions / J. Wenzelburger -- Ch. 3. Boundary Value Problems for Differential Forms. 3.1. The Dirichlet problem for the exterior derivative. 3.2. First order boundary value problems on [actual symbol not reproducible]. 3.3. General inhomogeneous boundary conditions. 3.4. Harmonic fields, harmonic forms and the Poisson equation. 3.5. Vector analysis
Control code
294873438
Dimensions
unknown
Extent
1 online resource (155 pages).
Form of item
online
Isbn
9783540494034
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)294873438

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