On the behavior of entropy solutions for a fractional p-Laplacian problem as t tends to infinity

On the behavior of entropy solutions for a fractional p-Laplacian problem as t tends to infinity

We prove an asymptotic behavior result of entropy solutions to fractional parabolic problems whose simplest model is (P) ( ut(t, x) + (−∆)s pu(x) = µ in Q := (0, T) × Ω, u(0, x) = u0(x) in Ω, u(t, x) = 0 on Σ := (0, T) × ∂Ω, where, Ω is a bounded domain of RN (N ≥ 2), T > 0, (−∆)s pu is t...

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Bibliographic Details
Main Author: Mohammed Abdellaoui
Format: Article
Language:English
Published: Sapienza Università Editrice 2022-02-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
asymptotic behavior
entropy solution
fractional capacity
measure data
parabolic equation
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2022(2)/103-132.pdf

Internet

https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2022(2)/103-132.pdf

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