Parabolic equations with VMO coefficients in spaces with mixed norms
N. V. Krylov
Abstract
An Lq(Lp)-theory of divergence and non-divergence form parabolic equations is presented. The main coefficients are supposed to belong to the class VMOx, which, in particular, contains all measurable functions depending only on t. The method of proving simplifies the methods previously used in the case p=q.
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