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arXiv · 2207.06807

Gradient higher integrability for degenerate parabolic double-phase systems

Wontae Kim·Juha Kinnunen·Kristian Moring
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Abstract

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 Hölder type estimate for the gradient. The proof is based on estimates in the intrinsic geometry and stopping time arguments.

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Wontae Kim, Juha Kinnunen, Kristian Moring. 2023-04-19. Gradient higher integrability for degenerate parabolic double-phase systems. https://arxiv.org/abs/2207.06807

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