UNIFORM C1,1 ESTIMATES OF HOMOGENIZATION OF ELLIPTIC EQUATIONS IN NON-DIVERGENCE FORM WITH DINI CONDITIONS

被引：0
|
作者：
Dong, Rong [1 ]
Li, Dongsheng [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2024年 / 44卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Homogenization; elliptic equations in non-divergence form; uniform C-1; C-1; estimates; Dini conditions; COMPACTNESS METHODS; SYSTEMS;
D O I：
10.3934/dcds.2023105
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is concerned with regularity of elliptic equations in non-divergence form with homogenization. We establish uniform interior and boundary C-1,C-1 estimates in bounded C-2,C-Dini domains provided the coefficients and inhomogeneous terms of equations are Dini continuous and the boundary data are of C-2,C-Dini, which weakens the assumptions of some existence results.
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页码：318 / 341
页数：24
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