Local Existence and Blow-Up of Solutions for Wave Equation Involving the Fractional Laplacian with Nonlinear Source Term

Local Existence and Blow-Up of Solutions for Wave Equation Involving the Fractional Laplacian with Nonlinear Source Term

The aim of this paper is to investigate the local weak existence and vacuum isolating of solutions, asymptotic behavior, and blow-up of the solutions for a wave equation involving the fractional Laplacian with nonlinear source. By means of the Galerkin approximations, we prove the local weak existen...

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Bibliographic Details
Main Authors: Younes Bidi, Abderrahmane Beniani, Keltoum Bouhali, Khaled Zennir, Hatim M. ElKhair, Eltegani I. Hassan, Almonther Alarfaj
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Axioms
Subjects:
fractional derivatives
existence
fractional Laplacian
local solution
blow-up
Online Access:https://www.mdpi.com/2075-1680/12/4/343

Internet

https://www.mdpi.com/2075-1680/12/4/343

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