Exponential growth of solutions with \(L_p\)-norm of a nonlinear viscoelastic hyperbolic equation


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 \(2 \leq m < p\).


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
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


MSC


References