Global controllability and stabilization for the nonlinear Schrödinger equation on an interval
Université Paris-Sud, Bâtiment 425, 91405 Orsay, France. email@example.com
Revised: 10 November 2008
We prove global internal controllability in large time for the nonlinear Schrödinger equation on a bounded interval with periodic, Dirichlet or Neumann conditions. Our strategy combines stabilization and local controllability near 0. We use Bourgain spaces to prove this result on L2. We also get a regularity result about the control if the data are assumed smoother.
Mathematics Subject Classification: 93B05 / 93D15 / 35Q55 / 35A21
Key words: Controllability / stabilization / nonlinear Schrödinger equation / Bourgain spaces
© EDP Sciences, SMAI, 2009