Article(electronic)June 13, 2023

Exponential growth of solutions with L_p-norm of a nonlinear viscoelastic wave equation with strong damping and source and delay terms

In: Studia Universitatis Babeş-Bolyai. Mathematica, Volume 68, Issue 2, p. 375-385

"; Choucha, Abdelbaki; Ouchenane, Djamel; Department of Mathematics, Faculty of Exact Sciences, University of El Oued, B.P. 789, El Oued 39000, Algeria e-mail: abdelbaki.choucha@gmail.com"; "Laboratory of Pure and Applied Mathematics, Amar Teledji Laghouat University, Algeria e-mail: ouchenanedjamel@gmail.com Or d.ouchenane@lagh-univ.dz"

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Abstract

" In this work, we are concerned with a problem for a viscoelastic wave equation with strong damping, nonlinear source and delay terms. We show the exponential growth of solutions with $L_{p}$-norm. i.e. $\displaystyle\lim_{t\rightarrow\infty}\Vert u\Vert_{p}^{p}\rightarrow\infty.$"

Publisher

Babes-Bolyai University

ISSN: 2065-961X

DOI

10.24193/subbmath.2023.2.12

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