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arXiv · 0908.0276

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

Vitali Liskevich·Igor I. Skrypnik
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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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Vitali Liskevich, Igor I. Skrypnik. 2009-08-03. Harnack inequality and continuity of solutions to quasi-linear degenerate parabolic equations with coeffcients from Kato-type classes. https://arxiv.org/abs/0908.0276

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