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arXiv · 1009.5657

Solvability of second-order equations with hierarchically partially BMO coefficients

Hongjie Dong
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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 in nondivergence form for any $p\in (1,\infty)$. The leading coefficients are assumed to be in locally BMO spaces with suitably small BMO seminorms. We not only extend several previous results by Krylov and Kim [14]-[18] to the full range of $p$, but also deal with equations with more general coefficients.

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Hongjie Dong. 2010-09-28. Solvability of second-order equations with hierarchically partially BMO coefficients. https://doi.org/10.1090/s0002-9947-2011-05453-x

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