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arXiv · 1509.02279

The Petrovski\uı criterion and barriers for degenerate and singular p-parabolic equations

Anders Björn·Jana Björn·Ugo Gianazza
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Abstract

In this paper we obtain sharp Petrovskii criteria for the p-parabolic equation, both in the degenerate case p>2 and the singular case 1<p<2. We also give an example of an irregular boundary point at which there is a barrier, thus showing that regularity cannot be characterized by the existence of just one barrier.

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Anders Björn, Jana Björn, Ugo Gianazza. 2016-03-01. The Petrovski\uı criterion and barriers for degenerate and singular p-parabolic equations. https://doi.org/10.1007/s00208-016-1415-0

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