Hölder regularity for degenerate parabolic double-phase equations
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Journal of Differential Equations, Volume 434
Abstract
We prove that bounded weak solutions to degenerate parabolic double-phase equations of p-Laplace type are locally Hölder 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.Description
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Kim, W, Moring, K & Särkiö, L 2025, 'Hölder regularity for degenerate parabolic double-phase equations', Journal of Differential Equations, vol. 434, 113231. https://doi.org/10.1016/j.jde.2025.113231