Fourth-order parabolic equations with weak BMO coefficients in Reifenberg domains

被引：11

作者：

Byun, Sun-Sig ^{[1
]}

Wang, Lihe ^{[2
,3
]}

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 DIFFERENTIAL EQUATIONS | 2008年 / 245卷 / 11期

关键词：

W-2; W-p estimates; Fourth-order parabolic equations; BMO space; Reifenberg domains; Vitali covering lemma; Fractals;

D O I：

10.1016/j.jde.2008.03.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study optimal W-2.p-regularity for fourth-order parabolic equations with discontinuous coefficients in general domains. We obtain the global W-2.p-regulafity for each 1 < p < infinity under the assumption that the coefficients have suitably small BMO semi-norm of weak type and the boundary of the domain is delta-Reifenberg flat. The situation of our main theorem arises when the conductivity on fractals is controlled by a random variable in the time direction. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：3217 / 3252

页数：36

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