Geodesic
Exponential growth of solutions with $L_p$-norm of a nonlinear viscoelastic hyperbolic equation
Zennir, Khaled1
1 Departement of Mathematics, Faculty of Sciences, University of Djillali Liabes, Sidi Bel Abbes, Algeria
Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 4, p. 252-262.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this work, we consider a viscoelastic wave equation, with strong damping, nonlinear damping and source terms, with initial and Dirichlet boundary conditions. We will show the exponential growth of solutions with $L_p$- norm if $2 \leq m p$.
DOI : 10.22436/jnsa.006.04.03
Classification : 35L05, 35L20, 58G16
Keywords: Nonlinear damping, strong damping, viscoelasticity, nonlinear source, exponential growth.

Zennir, Khaled 1

1 Departement of Mathematics, Faculty of Sciences, University of Djillali Liabes, Sidi Bel Abbes, Algeria 
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Zennir, Khaled. Exponential growth of solutions with \(L_p\)-norm of a nonlinear viscoelastic hyperbolic equation. Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 4, p. 252-262. doi : 10.22436/jnsa.006.04.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.006.04.03/

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