The Schauder estimates for higher-order parabolic systems with time irregular coefficients
Hongjie Dong, Hong Zhang · arXiv (Cornell University) · 2013
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 Hölder continuous in the spatial variables.