论文标题

Hopf的抛物线分数Laplacians和抛物线分数$ p $ -laplacians的引理

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

论文作者

Wang, Pengyan, Chen, Wenxiong

论文摘要

在本文中,我们首先建立了Hopf的寄生虫分数方程和抛物线分数$ p $ equiations的引理。然后,我们为抛物线分数方程提供了渐近型HOPF的引理。我们认为,这些HOPF的引理将成为获得非本地抛物线方程解决方案定性特性的强大工具。

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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