General decay for the wave model with nonlinear dissipation and a localized memory

Abbes Benaissa; Nacer Mahi; Mohamed  MEDJDEN

doi:10.5269/bspm.76424

General decay for the wave model with nonlinear dissipation and a localized memory

Abbes Benaissa Djillali Liabes University, Algeria
Nacer Mahi University of Science and Technology Houari Boumedienne
Mohamed MEDJDEN University of Science and Technology Houari Boumedienne

Resumo

In this paper, we study the asymptotic behavior as well as the global existence
of the solution of a dissipative wave equation. The exponential decay results of the energy are established via suitable
Lyapunov functionals in a bounded domain $\Omega$ of $\mathbb{R}^n$.