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arXiv · 2304.09776

Lipschitz truncation method for parabolic double-phase systems and applications

Wontae Kim·Juha Kinnunen·Lauri Särkiö
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Abstract

We discuss a Lipschitz truncation technique for parabolic double-phase problems of $p$-Laplace type in order to prove energy estimates and uniqueness results for the Dirichlet problem. Moreover, we show existence for a non-homogeneous double-phase problem. The Lipschitz truncation method is based on a Whitney-type covering result and a related partition of unity in the intrinsic geometry for the double-phase problem.

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Wontae Kim, Juha Kinnunen, Lauri Särkiö. 2023-04-19. Lipschitz truncation method for parabolic double-phase systems and applications. https://arxiv.org/abs/2304.09776

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