Supercaloric functions for the porous medium equation
Analysis of PDEs
2018-01-15 v1
Abstract
In the slow diffusion case unbounded supersolutions of the porous medium equation are of two totally different types, depending on whether the pressure is locally integrable or not. This criterion and its consequences are discussed.
Cite
@article{arxiv.1801.04121,
title = {Supercaloric functions for the porous medium equation},
author = {Juha Kinnunen and Pekka Lehtelä and Peter Lindqvist and Mikko Parviainen},
journal= {arXiv preprint arXiv:1801.04121},
year = {2018}
}