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Local properties of non-negative solutions to some doubly non-linear degenerate parabolic equations

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  • In the present paper we study the local behavior of non-negative weak solutions of a wide class of doubly non linear degenerate parabolic equations. We show, in particular, some lower pointwise estimates of such solutions in terms of suitable sub-potentials (dictated by the structure of the equation) and an alternative form of the Harnack inequality.
    Mathematics Subject Classification: Primary: 35K65, 35B65; Secondary 35B45.


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