Gradient Higher Integrability for Degenerate Parabolic Double-Phase Systems

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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en

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46

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Archive for Rational Mechanics and Analysis, Volume 247, issue 5, pp. 1-46

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.

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Kim, W, Kinnunen, J & Moring, K 2023, 'Gradient Higher Integrability for Degenerate Parabolic Double-Phase Systems', Archive for Rational Mechanics and Analysis, vol. 247, no. 5, 79, pp. 1-46. https://doi.org/10.1007/s00205-023-01918-0