Decay of energy for viscoelastic wave equations with Balakrishnan-Taylor damping and memories
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Date
2020-05-07
Authors
Wang, Fei
Hao, Jianghao
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
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Keywords
Viscoelasticity, Balakrishnan-Taylor damping, Decay, Memory
Citation
Wang, F., & Hao, J. (2020). Decay of energy for viscoelastic wave equations with Balakrishnan-Taylor damping and memories. <i>Electronic Journal of Differential Equations, 2020</i>(42), pp. 1-19.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.