**Astérisque**

Volume: 344;
2012;
241 pp;
Softcover

MSC: Primary 35; 42; 46; 45; 31;
**Print ISBN: 978-2-85629-343-0
Product Code: AST/344**

List Price: $75.00

Individual Member Price: $60.00

# Boundary Value Problems for the Stokes System in Arbitrary Lipschitz Domains

Share this page
*Marius Mitrea; Matthew Wright*

A publication of the Société Mathématique de France

The goal of this work is to treat the following main boundary value problems for the Stokes system: (1) the Dirichlet problem with \(L^p\)-data and nontangential maximal function estimates, (2) the Neumann problem with \(L^p\)-data and nontangential maximal function estimates, (3) the Regularity problem with \(L^p_1\)-data and nontangential maximal function estimates, (4) the transmission problem with \(L^p\)-data and nontangential maximal function estimates, (5) the Poisson problem with Dirichlet condition in Besov-Triebel-Lizorkin spaces, and (6) the Poisson problem with Neumann condition in Besov-Triebel-Lizorkin spaces, in Lipschitz domains of arbitrary topology in \({\mathbb{R}}^n\), for each \(n\geq2\).

The authors' approach relies on boundary integral methods and yields constructive solutions to the aforementioned problems.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

#### Readership

Graduate students and research mathematicians interested in the Stokes system, Lipschitz domains, boundary problems, layer potentials, and Besov-Triebel-Lizorkin spaces.