Electron. J. Differential Equations, Vol. 2020 (2020), No. 42, pp. 1-19.

Decay of energy for viscoelastic wave equations with Balakrishnan-Taylor damping and memories

Fei Wang, Jianghao Hao

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 7, 2020.
Math Subject Classifications: 35B35, 93D20.
Key Words: Viscoelasticity; Balakrishnan-Taylor damping; decay; memory.
DOI: 10.58997/ejde.2020.42

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Fei Wang
School of Mathematics and Statistics
Beijing Institute of Technology
Beijing 100081, China
email: 2930904441@qq.com
Jianghao Hao
School of Mathematical Sciences
Shanxi University
Taiyuan, Shanxi 030006, China
email: hjhao@sxu.edu.cn

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