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arxiv: 1506.00475 · v1 · pith:LHVM6ITDnew · submitted 2015-06-01 · 🧮 math.AP

Unbounded Supersolutions of Some Quasilinear Parabolic Equations: a Dichotomy

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keywords supersolutionsequationunboundedcaseclassesdependingdichotomydifferent
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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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