The Schauder estimates for higher-order parabolic systems with time irregular coefficients
Analysis of PDEs
2013-07-19 v1
Abstract
We prove Schauder estimates for solutions to both divergence and non-divergence type higher-order parabolic systems in the whole space and the half space. We also provide an existence result for divergence type systems in a cylindrical domain. All coefficients are assumed to be only measurable in the time variable and H\"{o}lder continuous in the spatial variables.
Cite
@article{arxiv.1307.5013,
title = {The Schauder estimates for higher-order parabolic systems with time irregular coefficients},
author = {Hongjie Dong and Hong Zhang},
journal= {arXiv preprint arXiv:1307.5013},
year = {2013}
}