Geodesic
Stabilization of Schrödinger equation in exterior domains
ESAIM: Control, Optimisation and Calculus of Variations, Tome 13 (2007) no. 3, pp. 570-579

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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.

DOI : 10.1051/cocv:2007024
Classification : 47A10, 35A27, 35A21, 35A25
Keywords: cut-off resolvent, local energy decay, stabilization 
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     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://geodesic.mathdoc.fr/articles/10.1051/cocv:2007024/}
}
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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

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