Energy decay of solutions for viscoelastic wave equations with a dynamic boundary and delay term

Mahdi Fatima Zohra1, Ferhat Mohamed2 and Hakem Ali3*

doi:10.26637/MJM0603/0010

Energy decay of solutions for viscoelastic wave equations with a dynamic boundary and delay term

Authors :

Mahdi Fatima Zohra¹, Ferhat Mohamed² and Hakem Ali^3*

Author Address :

^1,2,3Laboratory ACEDP, Djillali Liabes university, 22000 Sidi Bel Abbes, ALGERIA.

*Corresponding author.

Abstract :

In this paper, we establish a general decay result by using Nakao’s technique for a system of multi-dimensional viscoelastic wave equations with dynamic boundary conditions related to the Kelvin Voigt damping and delay term acting on the boundary.

Keywords :

Global existence, energy decay, blow up of solutions, nonlinear damping.

DOI :

10.26637/MJM0603/0010

Article Info :

Received : January 12, 2018; Accepted : May 18, 2018.