Bresse system with indefinite damping

被引：39
作者：
Soriano, Juan A. [1 ]
Munoz Rivera, Jaime E. [2 ,3 ]
Fatori, Luci Harue [4 ]
机构：
[1] Univ Estadual Maringa, Dept Math, BR-87020900 Maringa, Parana, Brazil
[2] LNCC MCT, Natl Lab Sci Computat, BR-25651070 Petropolis, RJ, Brazil
[3] UFRJ, Inst Math, Rio De Janeiro, Brazil
[4] Univ Estadual Londrina, Dept Math, BR-86051990 Londrina, PR, Brazil
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 387卷 / 01期
关键词：
Bresse system; Indefinite damping; Exponential stability; ENERGY DECAY-RATE; WAVE-EQUATIONS; STABILITY;
D O I：
10.1016/j.jmaa.2011.08.072
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Bresse system in a bounded domain (0, L) subset of R(1). The system has an indefinite damping mechanism, i.e. with a damping function a = a(x) possibly changing sign, presented only in the equation for the rotation angle. We shall prove that the system is still exponentially stable under the same conditions as in the positive constant damping case, and provided (a) over bar = 1/L integral(L)(0) a(x)dx > 0 and parallel to a - (a) over bar parallel to(2)(L) < epsilon, epsilon for e small enough. In the arguments, we shall also give a new proof of exponential stability for the constant case a = <(a)over bar>. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：284 / 290
页数：7
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