Schauder and Sobolev Estimates of Parabolic Equations
Analysis of PDEs
2019-11-11 v1
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].
Keywords
Cite
@article{arxiv.1911.03151,
title = {Schauder and Sobolev Estimates of Parabolic Equations},
author = {Guangying Lv and Jinlong Wei},
journal= {arXiv preprint arXiv:1911.03151},
year = {2019}
}
Comments
6 pages