Energy decay rate of wave equations with indefinite damping

被引：47

作者：

Benaddi, A ^{[1
]}

Rao, BP ^{[1
]}

机构：

[1] Univ Strasbourg, Inst Rech Math Avancee, F-67084 Strasbourg, France

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2000年 / 161卷 / 02期

关键词：

indefinite damping; spectrum expansion; Riesz basis; exponential decay rate;

D O I：

10.1006/jdeq.2000.3714

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the one-dimensional wave equation with an indefinite sign damping and a zero order potential term. Using a shooting method, we establish the asymptotic expansion of eigenvalues and eigenvectors of the damped wave equation for a large class of coefficients. In addition, if the damping coefficient is "more positive than negative," we prove that the energy of system decays uniformly exponentially to zero. This sharp result generalizes a previous work of Freitas and Zuazua (1996). (C) 2000 Academic Press.

引用

页码：337 / 357

页数：21

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