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August  2010, 27(3): 919-934. doi: 10.3934/dcds.2010.27.919

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, Tunisia
2. 

Département de Mathématiques, Faculté des Sciences de Monastir, Tunisia

Received  July 2009 Revised  December 2009 Published  March 2010

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.
Keywords: low frequencies., cutoff resolvent, Local energy, boundary stabilization.
Mathematics Subject Classification: Primary: 35B40, 35L20, 35B3.
Citation: Lassaad Aloui, Moez Khenissi. Boundary stabilization of the wave and Schrödinger equations in exterior domains. Discrete & Continuous Dynamical Systems, 2010, 27 (3) : 919-934. doi: 10.3934/dcds.2010.27.919
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