# 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} }

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.

## 9 Citations

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