Harnack inequality and continuity of solutions to quasi-linear degenerate parabolic equations with coeffcients from Kato-type classes

2009/08/03 by Vitali Liskevich, Igor I. Skrypnik, Liskevich, Vitali +1
Mathematics · #35B05 #35B35 #35B65 #35K55 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35B05 #msc:35B35 #msc:35B65 #msc:35K55

paper · pdf · doi:10.48550/arxiv.0908.0276

arxiv created 2009/08/03 · arxiv updated 2009/12/01

Abstract

For a general class of divergence type quasi-linear degenerate parabolic equations with measurable coeffcients and lower order terms from non-linear Kato-type classes, we prove local boundedness and continuity of solutions, and the intrinsic Harnack inequality for positive solutions.

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