Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 42, pp. 1-19.

Title: Decay of energy for viscoelastic wave equations with Balakrishnan-Taylor
       damping and memories
       
Authors: Fei Wang (Beijing Inst. of Technology, Beijing, China)
         Jianghao Hao (Shanxi Univ., Taiyuan, Shanxi, China)

Abstract:
 In this article, we consider a viscoelastic wave equation with
 Balakrishnan-Taylor damping, and finite and infinite memory terms
 in a bounded domain.  Under suitable assumptions on relaxation functions
 and with certain initial data,  by adopting the perturbed energy method,
 we establish a decay of energy which depends on the behavior of the relaxation
 functions.
 
Submitted December 23, 2019. Published May 07, 2020.
Math Subject Classifications: 35B35, 93D20.
Key Words: Viscoelasticity; Balakrishnan-Taylor damping; decay; memory.