Asymptotic stability for Bresse systems

被引：26

作者：

Soriano, J. A. ^{[1
]}

Charles, Wenden ^{[2
]}

Schulz, Rodrigo ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Math, BR-87020900 Maringa, Parana, Brazil

[2] Univ Fed Acre, Ctr Exact Sci & Technol, BR-69920900 Rio Branco, AC, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 412卷 / 01期

关键词：

Bresse systems; Observability; Wave propagation; Holmgren; Nonlinear semigroups; ENERGY DECAY-RATE; WAVE-EQUATIONS; INDEFINITE;

D O I：

10.1016/j.jmaa.2013.10.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper consider a vibrating system of Bresse type in a one-dimensional bounded domain with a nonlinear damping acting in the equation of the shear angle displacement, and nonlinear localized damping in other equations. We show the asymptotic stability without imposing conditions about the equal-speed wave propagation, using a method developed by Lasiecka and Tataru [9]. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：369 / 380

页数：12

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