Abstract

We establish weak Harnack inequalities for positive, weak supersolutions to certain doubly degenerate parabolic equations. The prototype of this kind of equations is ∂tu−div|u|m−1|Du|p−2Du=0,p>2,m+p>3.Our proof is based on Caccioppoli inequalities, De Giorgi’s estimates and Moser’s iterative method.

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