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

@article{Dong2015PartialSE,
title={Partial Schauder estimates for second-order elliptic and parabolic equations: a revisit},
author={Hongjie Dong and Seick Kim},
journal={arXiv: Analysis of PDEs},
year={2015}
}
• Published 3 February 2015
• Mathematics
• arXiv: Analysis of PDEs
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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