Global regularity for higher order divergence elliptic and parabolic equations

被引：10

作者：

Wang, Lihe ^{[1
,2
]}

Yao, Fengping ^{[3
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

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

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2014年 / 266卷 / 02期

关键词：

Regularity; Sobolev; Orlicz spaces; Higher order; Divergence; Elliptic; Parabolic; Small BMO; The whole space; ORLICZ SPACES; SYSTEMS; FORM; COEFFICIENTS; OPERATORS;

D O I：

10.1016/j.jfa.2013.10.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we obtain the global regularity estimates of the weak solutions in Sobolev spaces and Orlicz spaces for higher order elliptic and parabolic equations of divergence form with small BMO coefficients in the whole space. We only focus on the parabolic case while the corresponding result in the elliptic case can be obtained as a corollary. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：792 / 813

页数：22

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