Hessian estimates in Orlicz spaces for fourth-order parabolic systems in non-smooth domains

被引：17
|
作者：
Byun, Sun-Sig [1 ]
机构：
[1] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年 / 246卷 / 09期
关键词：
Hessian estimates; Orlicz spaces; Fourth-order parabolic systems; BMO space; Reifenberg domains; EQUATIONS; COEFFICIENTS; THEOREM;
D O I：
10.1016/j.jde.2009.01.023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish the global Hessian estimate in Orlicz spaces for a fourth-order parabolic system with discontinuous tensor coefficients in a non-smooth domain under the assumptions that the coefficients have small weak BMO semi-norms, the boundary of a domain is delta-Reifenberg flat for delta > 0 small and the given Young function satisfies some moderate growth condition. As a corollary we obtain an optimal global W-2,W-p regularity for such a system. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：3518 / 3534
页数：17
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