Partial Schauder estimates for second-order elliptic and parabolic equations: a revisit
Analysis of PDEs
2017-10-13 v2
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.
Keywords
Cite
@article{arxiv.1502.00886,
title = {Partial Schauder estimates for second-order elliptic and parabolic equations: a revisit},
author = {Hongjie Dong and Seick Kim},
journal= {arXiv preprint arXiv:1502.00886},
year = {2017}
}
Comments
37 pages; minor correction