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Abstract: By using some recent results for divergence form equations, we study the$L p$-solvability of second-order elliptic and parabolic equations innondivergence form for any $p\in 1,\infty$. The leading coefficients areassumed to be in locally BMO spaces with suitably small BMO seminorms. We notonly extend several previous results by Krylov and Kim 14-18 to the fullrange of $p$, but also deal with equations with more general coefficients.



Author: Hongjie Dong

Source: https://arxiv.org/







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