Lp estimates for parabolic equations in Reifenberg domains

被引：20

作者：

Byun, SS ^{[1
]}

Wang, LH

机构：

[1] Seoul Natl Univ, Dept Math, Seoul 151747, South Korea

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

[3] Xi An Jiao Tong Univ, Coll Sci, Xian 710049, Peoples R China

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2005年 / 223卷 / 01期

基金：

美国国家科学基金会;

关键词：

Reifenberg flat domain; maximal function; vitali covering lemma;

D O I：

10.1016/j.jfa.2004.10.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The inhomogeneous Neumann problem for parabolic equations in divergence form is studied. An optimal regularity requirement on the domain for the L-P-theory is investigated, assuming that the principal coefficients are supposed to be in the John-Nirenberg space with small BMO semi-norms and that the domain is a Reifenberg flat domain. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：44 / 85

页数：42

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