On the Global Nonexistence of a Solution for Wave Equations with Nonlinear Memory Term

On the Global Nonexistence of a Solution for Wave Equations with Nonlinear Memory Term

The paper is devoted to the problem of the local existence for a solution to a nonlinear wave equation, with the dissipation given by a nonlinear form with the presence of a nonlinear memory term. Moreover, the global nonexistence of a solution is established using the test function method. We combi...

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Bibliographic Details
Main Authors: Soufiane Bousserhane Reda, Amer Memou, Abdelhak Berkane, Ahmed Himadan, Abdelkader Moumen, Hicham Saber, Tariq Alraqad
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Fractal and Fractional
Subjects:
Lyapunov functions
wave equations
well-posedness
nonlinear memory term
exponential
multiplier method
Online Access:https://www.mdpi.com/2504-3110/7/11/788

Internet

https://www.mdpi.com/2504-3110/7/11/788

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