A Note on Gradient Estimates for Elliptic Equations with Discontinuous Coefficients

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发表日期：

2024年1月1日

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Yu Peng,
Xiandong Sun,
Huichun Zhang

摘要

The authors will use a method in metric geometry to show an L^p-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.