Unbounded Supersolutions of Some Quasilinear Parabolic Equations: a Dichotomy

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.

References in corpus (1)

• Riesz potentials and nonlinear parabolic equations

Cited by in corpus (1)

• Characterizations of interior polar sets for the degenerate p-parabolic equation