Classical solutions for fractional porous medium flow
Analysis of PDEs
2021-02-04 v1
Abstract
We consider the fractional porous medium flow introduced by Caffarelli-Vazquez and obtain local in time existence, uniqueness, and blow-up criterion for smooth solutions. The proof is based on establishing a commutator estimate involving fractional Laplacian operators.
Cite
@article{arxiv.2102.01816,
title = {Classical solutions for fractional porous medium flow},
author = {Young-Pil Choi and In-Jee Jeong},
journal= {arXiv preprint arXiv:2102.01816},
year = {2021}
}
Comments
13 pages