Hopf's lemmas for parabolic fractional p-Laplacians-Reference-Cited by-同舟云学术

Hopf's lemmas for parabolic fractional p-Laplacians

Published:2022 Issue:9 Volume:21 Page:3055
ISSN:1534-0392
Container-title:Communications on Pure and Applied Analysis
language:
Short-container-title:CPAA

Author:

Wang Pengyan¹,Chen Wenxiong²

Affiliation:

1. School of Mathematics and Statistics, Xinyang Normal University, Xinyang, Henan, China, 464000

2. Department of Mathematical Sciences, Yeshiva University, New York, NY, USA, 10033

Abstract

In this paper, we first establish Hopf's lemmas for parabolic fractional <inline-formula><tex-math id="M1">\begin{document}$ p $\end{document}</tex-math></inline-formula>-equations for <inline-formula><tex-math id="M2">\begin{document}$ p \geq 2 $\end{document}</tex-math></inline-formula>. Then we derive an asymptotic Hopf's lemma for anti-symmetric solutions to parabolic fractional Laplacians. We believe that these Hopf's lemmas will become powerful tools in obtaining qualitative properties of solutions for nonlocal parabolic equations.

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Analysis,General Medicine

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