REGULARITY OF ELLIPTIC SYSTEMS IN DIVERGENCE FORM WITH DIRECTIONAL HOMOGENIZATION

被引：8
|
作者：
Dong, Rong [1 ]
Li, Dongsheng [1 ]
Wang, Lihe [2 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2018年 / 38卷 / 01期
关键词：
Regularity; directional homogenization; elliptic systems in divergence form; OPERATOR; SPECTRUM;
D O I：
10.3934/dcds.2018004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study regularity of solutions of elliptic systems in divergence form with directional homogenization. Here directional homogenization means that the coefficients of equations are rapidly oscillating only in some directions. We will investigate the different regularity of solutions on directions with homogenization and without homogenization. Actually, we obtain uniform interior W-1,W-p estimates in all directions and uniform interior C-1,C-gamma estimatesin the directions without homogenization.
引用
收藏
页码：75 / 90
页数：16
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