Unbounded Supersolutions of Some Quasilinear Parabolic Equations: a Dichotomy
Analysis of PDEs
2015-06-02 v1
Abstract
We study unbounded (viscosity) supersolutions of the Evolutionary p-Laplace Equation in the slow diffusion case. The supersolutions fall into two widely different classes, depending on whether they are locally summable to the power p-2 or not. Also the Porous Medium Equation is studied.
Keywords
Cite
@article{arxiv.1506.00475,
title = {Unbounded Supersolutions of Some Quasilinear Parabolic Equations: a Dichotomy},
author = {Juha Kinnunen and Peter Lindqvist},
journal= {arXiv preprint arXiv:1506.00475},
year = {2015}
}