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Research Article | Open Access

General and optimal decay rates for a viscoelastic wave equation with strong damping

Department of Mathematics, Changzhi University, Changzhi 046011, China
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Abstract

This work is devoted to investigating the decay properties for a nonlinear viscoelastic wave equation with strong damping. Under certain class of relaxation functions and initial data and using the perturbed energy method, we obtain general and optimal decay results.

Keywords

viscoelastic wave equationstrong dampingLyapunov functiondecay
CLC number: 35L05, 35L20

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AIMS Mathematics
Volume 7 Issue 10,
October 2022
Pages 18282-18296
DOI: 10.3934/math.20221006

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Li Q. General and optimal decay rates for a viscoelastic wave equation with strong damping. AIMS Mathematics, 2022, 7(10): 18282-18296. https://doi.org/10.3934/math.20221006

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Received: 26 May 2022
Revised: 03 August 2022
Accepted: 09 August 2022
Published: 15 October 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)