Asymptotic behavior of the energy for a class of weakly dissipative second-order systems with memory

被引：96
作者：
Rivera, JEM
Naso, MG
Vegni, FM
机构：
[1] Univ Brescia, Fac Ingn, Dipartimento Matemat, I-25133 Brescia, Italy
[2] Natl Lab Sci Computat, Rua Getulio Vargas 333, BR-25651070 Rio De Janeiro, Brazil
[3] Univ Brescia, Fac Ingn, Dipartimento Matemat, I-25133 Brescia, Italy
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 286卷 / 02期
关键词：
asymptotic behavior of solutions; polynomial rate of decay;
D O I：
10.1016/S0022-247X(03)00511-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A class of second-order abstract systems with memory and Dirichlet boundary conditions is investigated. By suitable Liapunov functionals, existence of solutions as well as asymptotic behavior, are determined. In particular, when the memory kernel decays exponentially, the polynomially decay of the solutions is proved. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：692 / 704
页数：13
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