Global controllability and stabilization for the nonlinear Schrodinger equation on an interval
Analysis of PDEs
2008-12-18 v1 Optimization and Control
Abstract
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.
Cite
@article{arxiv.0805.3937,
title = {Global controllability and stabilization for the nonlinear Schrodinger equation on an interval},
author = {Camille Laurent},
journal= {arXiv preprint arXiv:0805.3937},
year = {2008}
}