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arXiv · 1502.00886

Partial Schauder estimates for second-order elliptic and parabolic equations: a revisit

Hongjie Dong·Seick Kim
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Abstract

Under various conditions, we establish Schauder estimates for both divergence and non-divergence form second-order elliptic and parabolic equations involving Hölder 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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Hongjie Dong, Seick Kim. 2016-11-26. Partial Schauder estimates for second-order elliptic and parabolic equations: a revisit. https://doi.org/10.1093/imrn%2Frnx180

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