GEOMETRIC CONDITIONS FOR THE EXACT CONTROLLABILITY OF FRACTIONAL FREE AND HARMONIC SCHRÖDINGER EQUATIONS
Résumé
We provide necessary and sufficient geometric conditions for the exact controllability of the one-dimensional fractional free and fractional harmonic Schrödinger equations. The necessary and sufficient condition for the exact controllability of fractional free Schrödinger equations is derived from the Logvinenko-Sereda theorem and its quantitative version established by Kovrijkine, whereas the one for the exact controllabil-ity of fractional harmonic Schrödinger equations is deduced from an infinite dimensional version of the Hautus test for Hermite functions and the Plancherel-Rotach formula.
Fichier principal
Article_schrodinger_2juillet20.pdf (348.63 Ko)
Télécharger le fichier
Article_schrodinger_4sept20.pdf (354.57 Ko)
Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Commentaire : Nouvelle version