A note on gradient estimates for elliptic equations with discontinuous coefficients. (English) Zbl 1532.35094
Summary: 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.
MSC:
| 35B45 | A priori estimates in context of PDEs |
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 35J15 | Second-order elliptic equations |
| 35R05 | PDEs with low regular coefficients and/or low regular data |
References:
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