The Kato smoothing effect for regularized Schrödinger equations in exterior domains
Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 7, pp. 1759-1792

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We prove, under the exterior geometric control condition, the Kato smoothing effect for solutions of an inhomogeneous and damped Schrödinger equation on exterior domains.

DOI : 10.1016/j.anihpc.2016.12.006
Keywords: Schrödinger equation, Exterior domain, Smoothing effect, Regularized equation, Geometric control condition, Frequency localization
@article{AIHPC_2017__34_7_1759_0,
     author = {Aloui, Lassaad and Khenissi, Moez and Robbiano, Luc},
     title = {The {Kato} smoothing effect for regularized {Schr\"odinger} equations in exterior domains},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1759--1792},
     publisher = {Elsevier},
     volume = {34},
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     year = {2017},
     doi = {10.1016/j.anihpc.2016.12.006},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2016.12.006/}
}
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Aloui, Lassaad; Khenissi, Moez; Robbiano, Luc. The Kato smoothing effect for regularized Schrödinger equations in exterior domains. Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 7, pp. 1759-1792. doi: 10.1016/j.anihpc.2016.12.006

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