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.

引用

页码：1 / 10

页数：10

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