Gradient estimates for Stokes systems in domains

被引：0

作者：

Choi, Jongkeun ^{[1
]}

Dong, Hongjie ^{[1
]}

机构：

[1] Brown Univ, Div Appl Math, 182 George St, Providence, RI 02912 USA

来源：

DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2019年 / 16卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Stokes system; Dini mean oscillation condition; C-1-estimate; weak type-(1,1)-estimate; C-1;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the stationary Stokes system with Dini mean oscillation coefficients in a domain having C-1,C-Dini boundary. We prove that if (u, p) is a weak solution of the system with zero Dirichlet boundary condition, then (Du,p) is continuous up to the boundary. We also prove a weak type-(1,1) estimate for (Du,p).

引用

页码：1 / 24

页数：24

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