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

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...

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Hauptverfasser: Kim, Wontae, Moring, Kristian, Särkiö, Lauri
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Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.2404.19111