Gradient estimates for degenerate quasi-linear parabolic equations
Analysis of PDEs
2014-02-26 v2
Abstract
For a general class of divergence type quasi-linear degenerate parabolic equations with differentiable structure and lower order coefficients form bounded with respect to the Laplacian we obtain -estimates for the gradients of solutions, and for the lower order coefficients from a Kato-type class we show that the solutions are Lipschitz continuous with respect to the space variable.
Cite
@article{arxiv.1004.3046,
title = {Gradient estimates for degenerate quasi-linear parabolic equations},
author = {Vitali Liskevich and Igor I. Skrypnik and Zeev Sobol},
journal= {arXiv preprint arXiv:1004.3046},
year = {2014}
}