Arbitrary rate of decay for a viscoelastic equation with acoustic boundary conditions

被引：43
|
作者：
Liu, Wenjun [1 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2014年 / 38卷
基金：
中国国家自然科学基金;
关键词：
Decay rate; Viscoelastic equation; Acoustic boundary condition; GENERAL DECAY; LINEAR VISCOELASTICITY; POLYNOMIAL STABILITY; WAVE-EQUATIONS; EXISTENCE; ENERGY;
D O I：
10.1016/j.aml.2014.07.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the viscoelastic equation with a homogeneous Dirichlet condition on a portion of the boundary and acoustic boundary conditions on the rest of the boundary. By using the assumptions on the relaxation function due to Tatar (2011), we generalize the work of Park and Park (2011) to an arbitrary rate of decay with not necessarily of an exponential or polynomial one and without the assumption condition integral(infinity)(0) g(s)ds < 1/2. (C) 2014 Elsevier Ltd. All rights reserved.
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页码：155 / 161
页数：7
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