General Decay Of A Nonlinear Viscoelastic Wave: Equation With Boundary Dissipation

Déficience D’une Onde Viscoélastique Non Linéaire : Équation Avec Dissipation Aux Limites

Amel Boudiaf
University of setif
Algeria

Salah Drabla
University of setif
Algeria

Published on 6 September 2021   DOI : 10.21494/ISTE.OP.2021.0723

Mots-clés

In this work we establish a general decay rate for a nonlinear viscoelastic wave equation with boundary dissipation where the relaxation function satisfies $g^{\prime }\left( t\right) \leq -\xi \left( t\right) g^{p} % \left( t\right) , t\geq 0, 1\leq p\leq \frac{3}{2}.$ This work generalizes and improves earlier results in the literature.

In this work we establish a general decay rate for a nonlinear viscoelastic wave equation with boundary dissipation where the relaxation function satisfies $g^{\prime }\left( t\right) \leq -\xi \left( t\right) g^{p} % \left( t\right) , t\geq 0, 1\leq p\leq \frac{3}{2}.$ This work generalizes and improves earlier results in the literature.