Blow-Up of Solutions for Wave Equation Involving the Fractional Laplacian with Nonlinear Source

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 existence and finite time blow-up of the solutions and we give the upper and lower bounds for blow-up time.

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

Bidi

Beniani

Bouhali

et al. 2023

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Blow-Up of Solutions for Wave Equation Involving the Fractional Laplacian with Nonlinear Source

Abstract: In this paper, we study the blow-up of solutions for wave equation involving the fractional Laplacian with nonlinear source.

Cited by 1 publication

References 18 publications

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

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