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

Résumé

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 $\mathbb{R}^n$.

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Publiée
2025-07-12
Rubrique
Articles