Energy decay for a viscoelastic wave equation with space-time potential in Rn

被引：3

作者：

Ogbiyele, Paul A. ^{[1
]}

Arawomo, Peter O. ^{[1
]}

机构：

[1] Univ Ibadan, Dept Math, Ibadan, Nigeria

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 505卷 / 02期

关键词：

Energy decay; Damping potential; Asymptotic behaviour; DEPENDENT DISSIPATION;

D O I：

10.1016/j.jmaa.2021.125529

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the following viscoelastic wave equation {u(tt) - (Delta u - integral(t)(0) g(t - s)Delta u(s)ds) + b(t, x)u(t) + vertical bar u vertical bar(p-1) u = 0, t > 0, x is an element of R-n u(0, x) = u(0)(x), u(t)(0,x) = u(1)(x), x is an element of R-n with space-time dependent potential and where the initial data u(0)(x), u(1) (x) have compact support. Under suitable assumptions on the relaxation function g and the potential b, we obtain a more general energy decay result using the perturbed energy method. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：14

共 22 条

[1] Existence and decay of solutions of a viscoelastic equation with a nonlinear source [J].