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Hodge decomposition : a method for solving boundary value problems / Günter Schwarz.
Author
Schwarz, Günter, 1959-
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Format
Book
Language
English
Published/Created
Berlin ; New York : Springer-Verlag, 1995.
Description
155 pages ; 23 cm
Availability
Available Online
Online Content
Springer Nature - Springer Lecture Notes in Mathematics eBooks
SpringerLink Books Lecture Notes In Mathematics Archive
Copies in the Library
Location
Call Number
Status
Location Service
Notes
Lewis Library - Stacks
QA3 .L28 no.1607
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Details
Subject(s)
Boundary value problems
—
Numerical solutions
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Hodge theory
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Decomposition (Mathematics)
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Series
Lecture notes in mathematics (Springer-Verlag) ; 1607.
[More in this series]
Lecture notes in mathematics ; 1607
Bibliographic references
Includes bibliographical references (p. [147]-152) and index.
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.
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Also available in an electronic version.
ISBN
3540600167
9783540600169
0387600167
9780387600161
LCCN
95021170
OCLC
32665028
International Article Number
9783540600169
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Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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Hodge decomposition : a method for solving boundary value problems / Günter Schwarz.
id
99125186077706421
Hodge decomposition : a method for solving boundary value problems / Günter Schwarz.
id
SCSB-8567537