Exponential growth of solutions with \(L_p\)-norm of a nonlinear viscoelastic hyperbolic equation
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Authors
Khaled Zennir
- Departement of Mathematics, Faculty of Sciences, University of Djillali Liabes, Sidi Bel Abbes, Algeria.
Abstract
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 \(2 \leq m < p\).
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ISRP Style
Khaled Zennir, Exponential growth of solutions with \(L_p\)-norm of a nonlinear viscoelastic hyperbolic equation, Journal of Nonlinear Sciences and Applications, 6 (2013), no. 4, 252--262
AMA Style
Zennir Khaled, Exponential growth of solutions with \(L_p\)-norm of a nonlinear viscoelastic hyperbolic equation. J. Nonlinear Sci. Appl. (2013); 6(4):252--262
Chicago/Turabian Style
Zennir, Khaled. "Exponential growth of solutions with \(L_p\)-norm of a nonlinear viscoelastic hyperbolic equation." Journal of Nonlinear Sciences and Applications, 6, no. 4 (2013): 252--262
Keywords
- Nonlinear damping
- strong damping
- viscoelasticity
- nonlinear source
- exponential growth.
MSC
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