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

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 16, Issue: 2, page 356-379
- ISSN: 1292-8119

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topLaurent, Camille. "Global controllability and stabilization for the nonlinear Schrödinger equation on an interval." ESAIM: Control, Optimisation and Calculus of Variations 16.2 (2010): 356-379. <http://eudml.org/doc/250771>.

@article{Laurent2010,

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.
},

author = {Laurent, Camille},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Controllability; stabilization; nonlinear Schrödinger equation; Bourgain spaces; controllability},

language = {eng},

month = {4},

number = {2},

pages = {356-379},

publisher = {EDP Sciences},

title = {Global controllability and stabilization for the nonlinear Schrödinger equation on an interval},

url = {http://eudml.org/doc/250771},

volume = {16},

year = {2010},

}

TY - JOUR

AU - Laurent, Camille

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

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/4//

PB - EDP Sciences

VL - 16

IS - 2

SP - 356

EP - 379

AB -
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.

LA - eng

KW - Controllability; stabilization; nonlinear Schrödinger equation; Bourgain spaces; controllability

UR - http://eudml.org/doc/250771

ER -

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