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Stabilization of Schrödinger equation in exterior domains

Published online by Cambridge University Press:  20 June 2007

Lassaad Aloui  and
Moez Khenissi
Lassaad Aloui
Affiliation:
Département de Mathématiques, Faculté des Sciences de Bizerte, Tunisia; lassaad.aloui@fsg.rnu.tn LAMSIN, Tunis, Tunisia.
Moez Khenissi
Affiliation:
LAMSIN, Tunis, Tunisia. Département de Mathématiques, Faculté des Sciences de Monastir, 5019 Monastir, Tunisia; moez.khenissi@fsg.rnu.tn
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Abstract

We prove uniform local energy estimates of solutions to the damped Schrödinger equation in exterior domains under the hypothesis of the Exterior Geometric Control. These estimates are derived from the resolvent properties.

Keywords

Cut-off resolventlocal energy decaystabilization
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 13 , Issue 3 , July 2007 , pp. 570 - 579
Copyright
© EDP Sciences, SMAI, 2007

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References

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