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February, 2018 General Decay for a Viscoelastic Wave Equation with Density and Time Delay Term in $\mathbb{R}^n$
Baowei Feng
Taiwanese J. Math. 22(1): 205-223 (February, 2018). DOI: 10.11650/tjm/8105

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.

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Baowei Feng. "General Decay for a Viscoelastic Wave Equation with Density and Time Delay Term in $\mathbb{R}^n$." Taiwanese J. Math. 22 (1) 205 - 223, February, 2018. https://doi.org/10.11650/tjm/8105

Information

Received: 16 November 2016; Revised: 27 April 2017; Accepted: 30 April 2017; Published: February, 2018
First available in Project Euclid: 17 August 2017

zbMATH: 06965366
MathSciNet: MR3749361
Digital Object Identifier: 10.11650/tjm/8105

Subjects:
Primary: 35B40 , 35L05 , 93D15

Keywords: delay feedbacks , Density , energy decay , wave equation , ‎weighted space

Rights: Copyright © 2018 The Mathematical Society of the Republic of China

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Vol.22 • No. 1 • February, 2018
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