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arXiv · 1506.00475

Unbounded Supersolutions of Some Quasilinear Parabolic Equations: a Dichotomy

Juha Kinnunen·Peter Lindqvist
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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.

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Juha Kinnunen, Peter Lindqvist. 2015-06-01. Unbounded Supersolutions of Some Quasilinear Parabolic Equations: a Dichotomy. https://arxiv.org/abs/1506.00475

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