A NOTE ON THE DIRICHLET PROBLEM FOR THE STOKES SYSTEM IN LIPSCHITZ-DOMAINS

Authors
SHEN ZW
Citation
Zw. Shen, A NOTE ON THE DIRICHLET PROBLEM FOR THE STOKES SYSTEM IN LIPSCHITZ-DOMAINS, Proceedings of the American Mathematical Society, 123(3), 1995, pp. 801-811
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
123
Issue
3
Year of publication
1995
Pages
801 - 811
Database
ISI
SICI code
0002-9939(1995)123:3<801:ANOTDP>2.0.ZU;2-P
Abstract
We study the L(p) Dirichlet problem for the Stokes system in Lipschitz domains. Optimal estimates are obtained when the dimension n = 3. In the case of n greater than or equal to 4, we establish a weak estimate of solutions for certain range of p.