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

Autor:	Simona Fornaro, Ugo Gianazza
Rok vydání:	2010
Předmět:	Pointwise Class (set theory) Nonlinear system Applied Mathematics Degenerate energy levels Mathematical analysis Structure (category theory) Discrete Mathematics and Combinatorics Parabolic partial differential equation Analysis Mathematics Harnack's inequality
Zdroj:	Discrete & Continuous Dynamical Systems - A. 26:481-492
ISSN:	1553-5231
DOI:	10.3934/dcds.2010.26.481
Popis:	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.
Databáze:	OpenAIRE
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