Partial Schauder estimates for second-order elliptic and parabolic equations: a revisit
arXiv:1502.00886 · doi:10.1093/imrn/rnx180
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.
37 pages; minor correction