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Parabolic and elliptic equations with VMO coefficients

N. V. Krylov
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Abstract

An $L_{p}$-theory of divergence and non-divergence form elliptic and parabolic equations is presented. The main coefficients are supposed to belong to the class $VMO_{x}$, which, in particular, contains all functions independent of $x$. Weak uniqueness of the martingale problem associated with such equations is obtained.

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N. V. Krylov. 2005-11-30. Parabolic and elliptic equations with VMO coefficients. https://arxiv.org/abs/math/0511731

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