Gradient Higher Integrability for Degenerate Parabolic Double-Phase Systems

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Abstract

We prove a local higher integrability result for the gradient of a weak solution to degenerate parabolic double-phase systems of p-Laplace type. This result comes with reverse Hölder type estimates. The proof is based on a careful phase analysis, estimates in the intrinsic geometries and stopping time arguments.
Original languageEnglish
Article number79
Pages (from-to)1-46
Number of pages46
JournalArchive for Rational Mechanics and Analysis
Volume247
Issue number5
DOIs
Publication statusPublished - Oct 2023
MoE publication typeA1 Journal article-refereed

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