An edition of Boundary value problems for the Stokes system in arbitrary Lipschitz domains (2012)

Boundary value problems for the Stokes system in arbitrary Lipschitz domains

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Boundary value problems for the Stokes system ...
Marius Mitrea
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An edition of Boundary value problems for the Stokes system in arbitrary Lipschitz domains (2012)

Boundary value problems for the Stokes system in arbitrary Lipschitz domains

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The goal of this work is to treat the main boundary value problems for the Stokes system, i.e., (i) the Dirichlet problem with Lp-data and nontangential maximal function estimates, (ii) the Neumann problem with Lp-data and nontangential maximal function estimates, (iii) the Regularity problem with Lp1-data and nontangential maximal function estimates, (iv) the transmission problem with Lp-data and nontangential maximal function estimates, (v) the Poisson problem with Dirichlet condition in Besov-Triebel-Lizorkin spaces, (vi) the Poisson problem with Neumann condition in Besov-Triebel-Lizorkin spaces, in Lipschitz domains of arbitrary topology in Rn, for each n [greater than or equal to] 2. Our approach relies on boundary integral methods and yields constructive solutions to the aforementioned problems.

Publish Date
Publisher
Societé mathématique de France
Language
English
Pages
241

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Subjects
Boundary value problems, Elliptic Differential equations

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Cover of: Boundary value problems for the Stokes system in arbitrary Lipschitz domains
Boundary value problems for the Stokes system in arbitrary Lipschitz domains
2012, Societé mathématique de France
in English
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Book Details

Table of Contents

1. Introduction
2. Smoothness spaces and Lipschitz domains
3. Rellich identities for divergence form, second-order systems
4. The Stokes system and hydrostatic potentials
5. The Lp[superscript] transmission problem with p near 2
6. Local L² estimates
7. The transmission problem in two and three dimensions
8. Higher dimensions
9. Boundary value problems in bounded Lipschitz domains
10. The Poisson problem for the Stokes system
11. Appendix.

Edition Notes

Revision of Matthew Wright's 2008 Ph. D. dissertation where Marius Mitrea was dissertation supervisor.

Includes bibliographical references.

Abstract also in French.

Published in
Paris
Series
Astérisque -- 344, Astérisque -- 344.

Classifications

Library of Congress
QA379 .M585 2012, QA379 .M58 2012, QA1 .A82 no.344

The Physical Object

Pagination
viii, 241 pages
Number of pages
241

ID Numbers

Open Library
OL31020922M
ISBN 10
2856293433
ISBN 13
9782856293430
LCCN
2012500279
OCLC/WorldCat
813048595

Source records

Library of Congress MARC record
marc_columbia MARC record
harvard_bibliographic_metadata record

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