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arXiv · 2404.19111

H\"older regularity for degenerate parabolic double-phase equations

Wontae Kim·Kristian Moring·Lauri Särkiö
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Abstract

We prove that bounded weak solutions to degenerate parabolic double-phase equations of $p$-Laplace type are locally H\"older continuous. The proof is based on phase analysis and methods for the $p$-Laplace equation. In particular, the phase analysis determines whether the double-phase equation is locally similar to the $p$-Laplace or the $q$-Laplace equation.

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Wontae Kim, Kristian Moring, Lauri Särkiö. 2024-04-29. H\"older regularity for degenerate parabolic double-phase equations. https://arxiv.org/abs/2404.19111

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