数学年刊B辑(英文版)2024,Vol.45Issue(1) :1-10.DOI:10.1007/s11401-024-0001-0

A Note on Gradient Estimates for Elliptic Equations with Discontinuous Coefficients

Yu PENG Xiandong SUN Huichun ZHANG
数学年刊B辑(英文版)2024,Vol.45Issue(1) :1-10.DOI:10.1007/s11401-024-0001-0

A Note on Gradient Estimates for Elliptic Equations with Discontinuous Coefficients

Yu PENG 1Xiandong SUN 1Huichun ZHANG1
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作者信息

  • 1. Department of Mathematics,Sun Yat-Sen University,Guangzhou 510275,China
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Abstract

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.

Key words

Lp-Estimate/Elliptic equation/Discontinuous coefficients

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基金项目

国家重点研发计划(2021YFA1003001)

出版年

2024
数学年刊B辑(英文版)
国家教育部委托复旦大学主办

数学年刊B辑(英文版)

CSTPCD
影响因子:0.129
ISSN:0252-9599
参考文献量14
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