Fei Wang, Jianghao Hao
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.
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| Fei Wang |
School of Mathematics and Statistics
Beijing Institute of Technology
Beijing 100081, China
| Jianghao Hao |
School of Mathematical Sciences
Taiyuan, Shanxi 030006, China
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