General decay result for the wave equation with memory and acoustic boundary conditions

被引：8

作者：

Yoon, Min ^{[1
]}

Lee, Mi Jin ^{[2
]}

Kang, Jum-Ran ^{[1
]}

机构：

[1] Pukyong Natl Univ, Dept Appl Math, Busan 48513, South Korea

[2] Pusan Natl Univ, Dept Math, Busan 46241, South Korea

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 135卷

基金：

新加坡国家研究基金会;

关键词：

Optimal decay; Viscoelastic wave equation; Acoustic boundary conditions; ENERGY; RATES;

D O I：

10.1016/j.aml.2022.108385

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the energy decay rates for the viscoelastic wave equation with acoustic boundary conditions. Here we consider with minimal conditions on the L-1(0,infinity) relaxation function alpha, namely alpha '(t) <= -zeta(t)G(alpha(t)), where G is an increasing and convex function near the origin and zeta is a nonincreasing function. Using the assumptions on the relaxation function alpha due to Mustafa (2018), we generalize the work of Park and Park (2011) and Liu (2014) to general decay. (C) 2022 Elsevier Ltd. All rights reserved.

引用

页数：7

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