Schauder and Sobolev Estimates of Parabolic Equations
arXiv:1911.03151
Abstract
In this note, we use the non-homogeneous Poisson stochastic process to show how knowing Schauder and Sobolev estimates for the one-dimensional heat equation allows one to derive their multidimensional analogs. The method is probability. We generalize the result of Krylov-Priola [7].
6 pages