Partial Schauder estimates for second-order elliptic and parabolic equations: a revisit (1502.00886v2)

Published 3 Feb 2015 in math.AP

Abstract: Under various conditions, we establish Schauder estimates for both divergence and non-divergence form second-order elliptic and parabolic equations involving H\"older semi-norms not with respect to all, but only with respect to some of the independent variables. A novelty of our results is that the coefficients are allowed to be merely measurable with respect to the other independent variables.

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