Abstract
Nonnegative weak solutions of quasi-linear degenerate parabolic equations of p-Laplacian type are shown to be locally bounded below by Barenblatt-type subpotentials. As a consequence, nonnegative solutions expand their positivity set. That is, a quantitative lower bound on a ball Bρ at time t̲ yields a quantitative lower bound on a ball B2ρ at some further time t. These lower bounds also permit one to recast the Harnack inequality of [4] in a family of alternative, equivalent forms
Published Version
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