Edición de la obra Boundary value problems for the Stokes system in arbitrary Lipschitz domains
| Autor | Marius Mitrea |
|---|---|
| Editorial | Societé mathématique de France |
| Fecha de publicación | 2012 |
| Lugar | Paris |
| Idioma | inglés |
| Páginas | 241 |
| ISBN-13 | 9782856293430 |
| ISBN-10 | 2856293433 |
| OCLC | 813048595 |
| LCCN | 2012500279 |
| Serie | Astérisque -- 344 · Astérisque -- 344. |
| Número de Cutter | M684b |
|---|
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.