Stabilization of Schrödinger equation in exterior domains

Issue		ESAIM: COCV Volume 13, Number 3, July-September 2007


Page(s)		570 - 579
DOI		10.1051/cocv:2007024
Published online		20 June 2007

ESAIM: COCV, Vol. 13, N°3, pp. 570-579
DOI: 10.1051/cocv:2007024

Stabilization of Schrödinger equation in exterior domains

Lassaad Aloui^{1, 2} and Moez Khenissi^{2, 3}

¹ Département de Mathématiques, Faculté des Sciences de Bizerte, Tunisia; lassaad.aloui@fsg.rnu.tn
² LAMSIN, Tunis, Tunisia.
³ Département de Mathématiques, Faculté des Sciences de Monastir, 5019 Monastir, Tunisia; moez.khenissi@fsg.rnu.tn

(Received February 4, 2005. Revised November 6, 2005. Published online June 20, 2007.)

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.

Mathematics Subject Classification. 47A10, 35A27, 35A21, 35A25

Key words: Cut-off resolvent, local energy decay, stabilization

© EDP Sciences, SMAI 2007

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