Article Dans Une Revue Journal of Differential Equations Année : 2005

Regularity for a Schrödinger equation with singular potentials and application to bilinear optimal control

Résumé

We study a Schrödinger equation with a coulombian potential, singular at finite distance, and an electric potential, possibly unbounded. The two potentials are real valued and may depend on space and time variables. We prove that if the electric potential is regular enough and at most quadratic at infinity, this problem is well-posed and the regularity of the initial data is conserved for the solution. We also give an application to the bilinear optimal control of the solution through the electric potential.

Fichier principal
Vignette du fichier
RSLbaudouin.pdf (259.82 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence
Loading...

Dates et versions

hal-00145710 , version 1 (11-05-2007)

Licence

Identifiants

  • HAL Id : hal-00145710 , version 1

Citer

Lucie Baudouin, Otared Kavian, Jean-Pierre Puel. Regularity for a Schrödinger equation with singular potentials and application to bilinear optimal control. Journal of Differential Equations, 2005, 216 (1), pp.188-222. ⟨hal-00145710⟩
283 Consultations
505 Téléchargements

Partager

  • More