A Note on Gradient Estimates for Elliptic Equations with Discontinuous Coefficients

被引：0
|
作者：
Peng, Yu [1 ]
Sun, Xiandong [1 ]
Zhang, Huichun [1 ]
机构：
[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2024年 / 45卷 / 01期
基金：
国家重点研发计划;
关键词：
L-p-Estimate; Elliptic equation; Discontinuous coefficients;
D O I：
10.1007/s11401-024-0001-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The authors will use a method in metric geometry to show an Lp-estimate for gradient of the weak solutions to elliptic equations with discontinuous coefficients, even the BMO semi-norms of the coefficients are not small. They also extend them to the weak solutions to parabolic equations.
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页码：1 / 10
页数：10
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