Decay estimate and non-extinction of solutions of p-Laplacian nonlocal heat equations

Decay estimate and non-extinction of solutions of p-Laplacian nonlocal heat equations

The main goal of this work is to study the initial boundary value problem of a nonlocal heat equations with logarithmic nonlinearity in a bounded domain. By using the logarithmic Sobolev inequality and potential wells method, we obtain the decay, blow-up and non-extinction of solutions under some co...

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Bibliographic Details
Main Authors: Sarra Toualbia, Abderrahmane Zaraï, Salah Boulaaras
Format: Article
Language:English
Published: AIMS Press 2020-02-01
Series:AIMS Mathematics
Subjects:
global existence
decay estimates
potential well
blow-up
non-extinction
nonlocal heat equations
Online Access:https://www.aimspress.com/article/10.3934/math.2020112/fulltext.html

Internet

https://www.aimspress.com/article/10.3934/math.2020112/fulltext.html

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