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. 
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