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Global controllability and stabilization for the nonlinear Schrödinger equation on an interval

Published online by Cambridge University Press:  10 February 2009

Camille Laurent
Camille Laurent*
Affiliation:
Université Paris-Sud, Bâtiment 425, 91405 Orsay, France. camille.laurent@math.u-psud.fr
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Abstract

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.

Keywords

Controllabilitystabilizationnonlinear Schrödinger equationBourgain spaces
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 16 , Issue 2 , April 2010 , pp. 356 - 379
Copyright
© EDP Sciences, SMAI, 2009

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