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We prove unique continuation principles for solutions of evolution Schrödinger equations with time dependent potentials. These correspond to uncertainly principles of Paley-Wiener type for the Fourier transform. Our results extend to a large class of semi-linear Schrödinger equations.
On prouve des principes de prolongement unique pour les solutions d'équations d'évolution de Schrödinger avec potentiels dépendant du temps. Ceux-ci correspondent à des principes d'incertitude de type Paley-Wiener pour la transformée de Fourier. Nos résultats se généralisent à une large classe d'équations de Schrödinger semi-linéaires.
@article{ASENS_2014__47_3_539_0,
author = {Kenig, Carlos E. and Ponce, Gustavo and Vega, Luis},
title = {A theorem of {Paley-Wiener} type for {Schr\"odinger} evolutions},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {539--557},
publisher = {Soci\'et\'e Math\'ematique de France. Tous droits r\'eserv\'es},
volume = {Ser. 4, 47},
number = {3},
year = {2014},
doi = {10.24033/asens.2221},
mrnumber = {3239098},
zbl = {1308.35274},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.24033/asens.2221/}
}
TY - JOUR AU - Kenig, Carlos E. AU - Ponce, Gustavo AU - Vega, Luis TI - A theorem of Paley-Wiener type for Schrödinger evolutions JO - Annales scientifiques de l'École Normale Supérieure PY - 2014 SP - 539 EP - 557 VL - 47 IS - 3 PB - Société Mathématique de France. Tous droits réservés UR - http://geodesic.mathdoc.fr/articles/10.24033/asens.2221/ DO - 10.24033/asens.2221 LA - en ID - ASENS_2014__47_3_539_0 ER -
%0 Journal Article %A Kenig, Carlos E. %A Ponce, Gustavo %A Vega, Luis %T A theorem of Paley-Wiener type for Schrödinger evolutions %J Annales scientifiques de l'École Normale Supérieure %D 2014 %P 539-557 %V 47 %N 3 %I Société Mathématique de France. Tous droits réservés %U http://geodesic.mathdoc.fr/articles/10.24033/asens.2221/ %R 10.24033/asens.2221 %G en %F ASENS_2014__47_3_539_0
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis. A theorem of Paley-Wiener type for Schrödinger evolutions. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 47 (2014) no. 3, pp. 539-557. doi : 10.24033/asens.2221. http://geodesic.mathdoc.fr/articles/10.24033/asens.2221/
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