Perron's method for the porous medium equation
Analysis of PDEs
2014-12-03 v2
Abstract
This work extends Perron's method for the porous medium equation in the slow diffusion case. The main result shows that nonnegative continuous boundary functions are resolutive in a general cylindrical domain.
Cite
@article{arxiv.1401.4277,
title = {Perron's method for the porous medium equation},
author = {Juha Kinnunen and Peter Lindqvist and Teemu Lukkari},
journal= {arXiv preprint arXiv:1401.4277},
year = {2014}
}