Electron. J. Diff. Equ., Vol. 2016 (2016), No. 72, pp. 1-11.

Uniform decay of solutions for coupled viscoelastic wave equations

Jianghao Hao, Li Cai

Abstract:
In this article, we consider a system of two coupled viscoelastic equations with Dirichlet boundary conditions. By using the perturbed energy method, we obtain a general decay result which depends on the behavior of the relaxation functions and source terms.

Submitted August 21, 2015. Published March 15, 2016.
Math Subject Classifications: 35L05, 35L20, 35L70, 93D15.
Key Words: Coupled viscoelastic wave equations; relaxation functions; uniform decay.

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Jianghao Hao
School of Mathematical Sciences
Shanxi University
Taiyuan, Shanxi 030006, China
email: hjhao@sxu.edu.cn
Li Cai
School of Mathematical Sciences
Shanxi University
Taiyuan, Shanxi 030006, China
email: 2829742149@qq.com

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