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).
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页码：1 / 24
页数：24
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