BOUNDARY STABILIZATION OF THE WAVE AND SCHRODINGER EQUATIONS IN EXTERIOR DOMAINS

被引：9

作者：

Aloui, Lassaad ^{[1
]}

Khenissi, Moez ^{[2
]}

机构：

[1] Fac Sci Bizerte, Dept Math, Bizerte, Tunisia

[2] Fac Sci Monastir, Dept Math, Monastir, Tunisia

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2010年 / 27卷 / 03期

关键词：

Local energy; boundary stabilization; cutoff resolvent; low frequencies; LOCAL ENERGY DECAY; SCATTERING-THEORY;

D O I：

10.3934/dcds.2010.27.919

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we complete our works on the local energy decay for the evolution damping problem in exterior domains. We consider the wave and Schrodinger equations in an exterior domain with dissipative boundary condition. We study the distribution of resonances under some natural assumptions on the behavior of the geodesics in order to deduce the uniform local energy decay.

引用

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页码：919 / 934

页数：16

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