| Issue |
ESAIM: COCV
Volume 13, Number 3, July-September 2007
|
|
|---|---|---|
| Page(s) | 570 - 579 | |
| DOI | https://doi.org/10.1051/cocv:2007024 | |
| Published online | 20 June 2007 | |
Stabilization of Schrödinger equation in exterior domains
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:
4
February
2005
Revised:
6
November
2005
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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