A theorem of Paley-Wiener type for Schrödinger evolutions
[Un théorème de type Paley-Wiener pour les évolutions de Schrödinger]
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 47 (2014) no. 3, pp. 539-557.

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.

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.

Publié le :
DOI : 10.24033/asens.2221
Classification : 35Q55
Keywords: Schrödinger evolutions, unique continuation.
Mot clés : Évolutions de Schrödinger, prolongement unique. 
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     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},
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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://www.numdam.org/articles/10.24033/asens.2221/

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