Polynomial-exponential stability and blow-up solutions to a nonlinear damped viscoelastic Petrovsky equation

Author:

Peyravi A.,Tahamtani F.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization,Modeling and Simulation,Numerical Analysis

Reference28 articles.

1. Adams, R.A.: Sobolev spaces, pure and applied mathematics, vol. 65. Academic Press, New York, London (1975)

2. Amroun, N.E., Benaissa, A.: Global existence and energy decay of solutions to a Petrovsky equation with general nonlinear dissipation and source term. Georgian. Math. J. 13, 397–410 (2006)

3. Cavalcanti, M.M., Domingos Cavalcanti, V.N., Ferreira, J.: Existence and uniform decay for a nonlinear viscoelastic equation with strong damping. Math. Meth. Appl. Sci. 24, 1043–1053 (2001)

4. Guesmia, A.: Existence globale et stabilisation interne non linéaire d’un système de Petrovsky. Bell. Belg. Math. Soc. 5, 583–594 (1998)

5. Han, X.S., Wang, M.X.: Global existence and uniform decay for a nonlinear viscoelastic equation with damping. Nonlinear Anal. 70, 3090–3098 (2009)

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