Second-order elliptic and parabolic equations with BMO coefficients in the whole space

被引：0

作者：

Yao, Fengping ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2011年 / 34卷 / 13期

基金：

高等学校博士学科点专项科研基金;

关键词：

Orlicz spaces; second-order; divergence; elliptic; parabolic; small BMO; the whole space; VMO COEFFICIENTS; ORLICZ SPACES; REIFENBERG DOMAINS; DIVERGENCE FORM; DIRICHLET PROBLEM; POISSON EQUATION; GRADIENT; SYSTEMS; REGULARITY;

D O I：

10.1002/mma.1463

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain the global regularity estimates in Orlicz spaces for second-order divergence elliptic and parabolic equations with BMO coefficients in the whole space. In fact, the global result can follow from the local estimates. As a corollary we obtain L(p)-type regularity estimates for such equations. Copyright (C) 2011 John Wiley & Sons, Ltd.

引用

页码：1587 / 1593

页数：7

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