Boundary value problems for the Stokes system in arbitrary Lipschitz domains
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Author
Contributions
- Wright, Matt, 1980- - Contributor
- Société mathématique de France - Contributor
Publication
2012 - Societé mathématique de France, Paris, France
Language
English
Word Count
60,250 words, Guess
Page Count
241 pages
Identifiers
- Open LibraryOL31020922M
- ISBN-139782856293430
- ISBN-102856293433
- OCLC Control Number813048595
- Library of Congress Control Number2012500279
Classifications
- LCCQA379 .M585 2012
Description
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.
Subjects
Series Statement
- Astérisque -- 344
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