Fundamental solutions for stationary Stokes systems with measurable coefficients

被引：11

作者：

Choi, Jongkeun ^{[1
]}

Yang, Minsuk ^{[2
]}

机构：

[1] Korea Univ, Dept Math, 145 Anam Ro, Seoul 02841, South Korea

[2] Korea Inst Adv Study, Sch Math, 85 Hoegiro Dongdaemungu, Seoul, South Korea

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 263卷 / 07期

基金：

新加坡国家研究基金会;

关键词：

The fundamental solution; The Green function; The Stokes system; BMO coefficients; ELLIPTIC-SYSTEMS;

D O I：

10.1016/j.jde.2017.05.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the existence and the pointwise bound of the fundamental solution for the stationary Stokes system with measurable coefficients in the whole space R-d, d >= 3, under the assumption that weak solutions of the system are locally Holder continuous. We also discuss the existence and the pointwise bound of the Green function for the Stokes system with measurable coefficients on Omega, where Omega is an unbounded domain such that the divergence equation is solvable. Such a domain includes, for example, half space and an exterior domain. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：3854 / 3893

页数：40

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