Regularity in a Schrödinger equation with a potential singular at finite distance and at infinity;Régularité dans une équation de Schrödinger avec potential singulier à distance finie et à l'infini

Comptes Rendus Mathematique

Volumn 337, Issue 11, 2003, Pages 705-710

  Baudouin, Lucie ^a   Kavian, Otared ^a   Puel, Jean Pierre ^a  

^a UNIVERSITÉ DE VERSAILLES SAINT QUENTIN EN YVELINES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0348163829     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2003.10.011     Document Type: Article

References (6)

1. L. Baudouin, O. Kavian, J.-P. Puel, Regularity for a Schrödinger equation with a potential singular at finite distance and at infinity and application to a bilinear optimal control problem, à paraître.
2. E. Cancès, C. Le Bris, On the time-dependent Hartree-Fock equations coupled with a classical nuclear dynamics, Math. Models Methods Appl. Sci. 9 (7) (1999) 963-990.
3. E. Cancès, C. Le Bris, M. Pilot, Contrôle optimal bilinéaire d'une equation de Schrödinger, C. R. Acad. Sci. Paris, Ser. I 330 (2000) 567-571.
4. K. Yajima, Existence of solutions for Schrödinger evolution equations, Comm. Math. Phys. 110 (1987) 415-426.
5. p (0, T; B), Ann. Mat. Pura Appl. (4) 146 (1987) 65-96.
6. R. Strichartz, Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations, Duke Math. 144 (1977) 705-714.