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| A Note on Gradient Estimates for Elliptic Equations with Discontinuous Coefficients |
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Citation： |
Yu PENG,Xiandong SUN,Huichun ZHANG.A Note on Gradient Estimates for Elliptic Equations with Discontinuous Coefficients[J].Chinese Annals of Mathematics B,2024,45(1):1~10 |
| Page view： 377
Net amount： 393 |
Authors： |
Yu PENG; Xiandong SUN;Huichun ZHANG |
Foundation： |
This work was supported by the National Key R&D Program of China (No. 2021YFA1003001). |
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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. |
Keywords： |
L^p-Estimate, Elliptic equation, Discontinuous coefficients |
Classification： |
35B65, 53C23 |
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