The Poisson problem for the exterior derivative operator with Dirichlet boundary condition in nonsmooth domains

被引：40

作者：

Mitrea, Dorina ^{[1
]}

Mitrea, Marius ^{[1
]}

Monniaux, Sylvie ^{[2
]}

机构：

[1] Univ Missouri, Columbia, MO 65211 USA

[2] Univ Aix Marseille 3, F-13397 Marseille 20, France

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2008年 / 7卷 / 06期

关键词：

exterior derivative; divergence equation; differential forms; Poisson problem; Dirichlet condition; Lipschitz domain; Sobolev; Besov; Triebel-Lizorkin spaces;

D O I：

10.3934/cpaa.2008.7.1295

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We formulate and solve the Poisson problem for the exterior derivative operator with Dirichlet boundary condition in Lipschitz domains, of arbitrary topology, for data in Besov and Triebel-Lizorkin spaces.

引用

页码：1295 / 1333

页数：39