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

Author
Schwarz, Günter, 1959- [Browse]
Format
Book
Language
English
Published/​Created
Berlin ; New York : Springer-Verlag, 1995.
Description
155 pages ; 23 cm

Availability

Copies in the Library

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Lewis Library - Stacks QA3 .L28 no.1607 Browse related items Request

    Details

    Subject(s)
    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.
    Other format(s)
    Also available in an electronic version.
    ISBN
    • 3540600167
    • 9783540600169
    • 0387600167
    • 9780387600161
    LCCN
    95021170
    OCLC
    32665028
    International Article Number
    • 9783540600169
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