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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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. |
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DOI: | 10.48550/arxiv.2404.19111 |