no. 7
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.

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
Mots clés : Schrödinger equation, Exterior domain, Smoothing effect, Regularized equation, Geometric control condition, Frequency localization 
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     title = {The {Kato} smoothing effect for regularized {Schr\"odinger} equations in exterior domains},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
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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. http://www.numdam.org/articles/10.1016/j.anihpc.2016.12.006/

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