Improved regularity for the parabolic normalized p-Laplace equation
Analysis of PDEs
2021-08-20 v1
Abstract
We derive regularity estimates for viscosity solutions to the parabolic normalized p-Laplace. By using approximation methods and scaling arguments for the normalized p-parabolic operator, we show that the gradient of bounded viscosity solutions is locally asymptotically Lipschitz continuous when is sufficiently close to 2. In addition, we establish regularity estimates in Sobolev spaces.
Keywords
Cite
@article{arxiv.2108.08424,
title = {Improved regularity for the parabolic normalized p-Laplace equation},
author = {Pêdra D. S. Andrade and Makson S. Santos},
journal= {arXiv preprint arXiv:2108.08424},
year = {2021}
}
Comments
18 pages