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.
Mots clés : cut-off resolvent, local energy decay, stabilization
@article{COCV_2007__13_3_570_0,
author = {Aloui, Lassaad and Khenissi, Moez},
title = {Stabilization of {Schr\"odinger} equation in exterior domains},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {570--579},
publisher = {EDP-Sciences},
volume = {13},
number = {3},
year = {2007},
doi = {10.1051/cocv:2007024},
mrnumber = {2329177},
language = {en},
url = {http://www.numdam.org/articles/10.1051/cocv:2007024/}
}
TY - JOUR AU - Aloui, Lassaad AU - Khenissi, Moez TI - Stabilization of Schrödinger equation in exterior domains JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2007 SP - 570 EP - 579 VL - 13 IS - 3 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv:2007024/ DO - 10.1051/cocv:2007024 LA - en ID - COCV_2007__13_3_570_0 ER -
%0 Journal Article %A Aloui, Lassaad %A Khenissi, Moez %T Stabilization of Schrödinger equation in exterior domains %J ESAIM: Control, Optimisation and Calculus of Variations %D 2007 %P 570-579 %V 13 %N 3 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv:2007024/ %R 10.1051/cocv:2007024 %G en %F COCV_2007__13_3_570_0
Aloui, Lassaad; Khenissi, Moez. Stabilization of Schrödinger equation in exterior domains. ESAIM: Control, Optimisation and Calculus of Variations, Tome 13 (2007) no. 3, pp. 570-579. doi : 10.1051/cocv:2007024. http://www.numdam.org/articles/10.1051/cocv:2007024/
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