Local regularity for quasi-linear parabolic equations in non-divergence form
Analysis of PDEs
2018-09-11 v1
Abstract
We consider viscosity solutions to non-homogeneous degenerate and singular parabolic equations of the -Laplacian type and in non-divergence form. We provide local H\"older and Lipschitz estimates for the solutions. In the degenerate case, we prove the H\"older regularity of the gradient. Our study is based on a combination of the method of alternatives and the improvement of flatness estimates.
Keywords
Cite
@article{arxiv.1809.03241,
title = {Local regularity for quasi-linear parabolic equations in non-divergence form},
author = {Amal Attouchi},
journal= {arXiv preprint arXiv:1809.03241},
year = {2018}
}