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
收藏
页码：1295 / 1333
页数：39
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