Boundary stabilization of the wave  and Schrödinger equations in exterior domains

Lassaad Aloui; Moez Khenissi

doi:10.3934/dcds.2010.27.919

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2010, Volume 27, Issue 3: 919-934. Doi: 10.3934/dcds.2010.27.919

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Boundary stabilization of the wave and Schrödinger equations in exterior domains

Lassaad Aloui^1, and
Moez Khenissi^2,

1.
Département de Mathématiques, Faculté des Sciences de Bizerte
2.
Département de Mathématiques, Faculté des Sciences de Monastir

Received: July 2009

Revised: December 2009

Published: September 2010

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Abstract

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 Schrödinger 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.

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Mathematics Subject Classification: Primary: 35B40, 35L20, 35B35.

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