Gradient higher integrability for degenerate parabolic double-phase systems

We prove local higher integrability of the gradient of a weak solution to a degenerate parabolic double-phase system. This result comes with a reverse H\"older type estimate for the gradient. The proof is based on estimates in the intrinsic geometry and stopping time arguments.

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Bibliographic Details
Published in:arXiv.org 2023-04
Main Authors: Kim, Wontae, Kinnunen, Juha, Moring, Kristian
Format: Article
Language:English
Online Access:Get full text
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Summary:We prove local higher integrability of the gradient of a weak solution to a degenerate parabolic double-phase system. This result comes with a reverse H\"older type estimate for the gradient. The proof is based on estimates in the intrinsic geometry and stopping time arguments.
ISSN:2331-8422