Logarithmic bounds on Sobolev norms for time dependent linear Schrodinger equations

Communications in Partial Differential Equations

Volumn 33, Issue 12, 2008, Pages 2164-2179

  Wang, W M ^a  

^a UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

Sobolev norms; Time dependent Schrodinger equation

Indexed keywords

EID: 57249090382     PISSN: 03605302     EISSN: 15324133     Source Type: Journal    
DOI: 10.1080/03605300802537115     Document Type: Article

References (6)

1. Bourgain, J. (1999). Global Solutions of Nonlinear Schrodinger Equations. Colloquim Publication, AMS.
2. Bourgain, J. (1999). Growth of Sobolev norms in linear Schrodinger operators with quasi-periodic potential. Commun. Math. Phys. 1:207-247.
3. Bourgain, J. (1999). On the growth of Sobolev norms in linear Schrodinger operators with smooth time dependent potential. J. Anal. Math. 77:315-348.
4. Hormander, L. (1990). Analysis of Linear Partial Differential Operators I, II. Springer-Verlag.
5. Nersesyan, V. (2008). Growth of Sobolev norms and controllability of Schrödinger equation. ArXiv: 0804.3982v2.
6. Wang, W.-M. (2008). Bounded Sobolev norms for linear Schrödinger equations under resonant perturbations. J. Func. Anal. 254:2926-2946.