Boundary value problems for the Stokes system in arbitrary Lipschitz domains
Marius Mitrea · 2012
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About the book
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.
Book details
- Year
- 2012
- Language
- English
- Series
- Astérisque -- 344
- Publisher
- Societé mathématique de France
- Editions
- 1
- Pages
- 241
- ISBN
- 9782856293430
Data source: Wikidata
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