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
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},
year = {2017},
publisher = {Elsevier},
volume = {34},
number = {7},
doi = {10.1016/j.anihpc.2016.12.006},
zbl = {1377.35044},
mrnumber = {3724756},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2016.12.006/}
}
TY - JOUR AU - Aloui, Lassaad AU - Khenissi, Moez AU - Robbiano, Luc TI - The Kato smoothing effect for regularized Schrödinger equations in exterior domains JO - Annales de l'I.H.P. Analyse non linéaire PY - 2017 SP - 1759 EP - 1792 VL - 34 IS - 7 PB - Elsevier UR - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2016.12.006/ DO - 10.1016/j.anihpc.2016.12.006 LA - en ID - AIHPC_2017__34_7_1759_0 ER -
%0 Journal Article %A Aloui, Lassaad %A Khenissi, Moez %A Robbiano, Luc %T The Kato smoothing effect for regularized Schrödinger equations in exterior domains %J Annales de l'I.H.P. Analyse non linéaire %D 2017 %P 1759-1792 %V 34 %N 7 %I Elsevier %U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2016.12.006/ %R 10.1016/j.anihpc.2016.12.006 %G en %F AIHPC_2017__34_7_1759_0
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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