On the Cauchy problem for a general fractional porous medium equation with variable density
Analysis of PDEs
2013-02-04 v1
Abstract
We study the well-posedness of the Cauchy problem for a fractional porous medium equation with a varying density. We establish existence of weak energy solutions; uniqueness and nonuniqueness is studied as well, according with the behavior of the density at infinity.
Keywords
Cite
@article{arxiv.1302.0119,
title = {On the Cauchy problem for a general fractional porous medium equation with variable density},
author = {Fabio Punzo and Gabriele Terrone},
journal= {arXiv preprint arXiv:1302.0119},
year = {2013}
}