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

Details Global controllability and stabilization for the nonlinear Schrodinger equation on an interval Global controllability and stabilization for the nonlinear Schrodinger equation on an interval

2008-05-26

arxiv.org/abs/0805.3937v1

Mathematics

Analysis of PDEs

Scientific paper

We prove global internal controllability in large time for the nonlinear
Schrodinger 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.

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