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arXiv · 2010.01212

Hopf's lemmas for parabolic fractional Laplacians and parabolic fractional $p$-Laplacians

Pengyan Wang·Wenxiong Chen
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Abstract

In this paper, we first establish Hopf's lemmas for parabolic fractional equations and parabolic fractional $p$-equations. Then we derive an asymptotic Hopf's lemma for antisymmetric solutions to parabolic fractional equations. We believe that these Hopf's lemmas will become powerful tools in obtaining qualitative properties of solutions for nonlocal parabolic equations.

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Pengyan Wang, Wenxiong Chen. 2020-10-02. Hopf's lemmas for parabolic fractional Laplacians and parabolic fractional $p$-Laplacians. https://arxiv.org/abs/2010.01212

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