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Existence and blow-up of a new class of nonlinear damped wave equation
Journal article   Peer reviewed

Existence and blow-up of a new class of nonlinear damped wave equation

Zakia Tebba, Salah Boulaaras, Hakima Degaichia and Ali Allahem
Journal of intelligent & fuzzy systems, Vol.38(3), pp.2649-2660
01/01/2020
DOI: https://doi.org/10.3233/JIFS-179551

Abstract

Computer Science Computer Science, Artificial Intelligence Science & Technology Technology
In this paper, we study a new class of nonlinear wave equation with variable exponents, where the existence of a unique weak solution is established under suitable assumptions on the variable exponents m and p by using the Faedo-Galerkin method. We also prove the finite time blow-up of solutions. Our results are natural extension of the work in [14].

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