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

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

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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