Taiwanese Journal of Mathematics

General Decay for a Viscoelastic Wave Equation with Density and Time Delay Term in $\mathbb{R}^n$

Baowei Feng

Abstract

A linear viscoelastic wave equation with density and time delay in the whole space $\mathbb{R}^n$ ($n \geq 3$) is considered. In order to overcome the difficulties in the non-compactness of some operators, we introduce some weighted spaces. Under suitable assumptions on the relaxation function, we establish a general decay result of solution for the initial value problem by using energy perturbation method. Our result extends earlier results.

Article information

Source
Taiwanese J. Math., Volume 22, Number 1 (2018), 205-223.

Dates
Received: 16 November 2016
Revised: 27 April 2017
Accepted: 30 April 2017
First available in Project Euclid: 17 August 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1502935237

Digital Object Identifier
doi:10.11650/tjm/8105

Mathematical Reviews number (MathSciNet)
MR3749361

Zentralblatt MATH identifier
06965366

Citation

Feng, Baowei. General Decay for a Viscoelastic Wave Equation with Density and Time Delay Term in $\mathbb{R}^n$. Taiwanese J. Math. 22 (2018), no. 1, 205--223. doi:10.11650/tjm/8105. https://projecteuclid.org/euclid.twjm/1502935237

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