GLOBAL CONTROLLABILITY AND STABILIZATION FOR THE NONLINEAR SCHRODINGER EQUATION ON AN INTERVAL

被引：43

作者：

Laurent, Camille ^{[1
]}

机构：

[1] Univ Paris 11, F-91405 Orsay, France

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2010年 / 16卷 / 02期

关键词：

Controllability; stabilization; nonlinear Schrodinger equation; Bourgain spaces;

D O I：

10.1051/cocv/2009001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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 L-2. We also get a regularity result about the control if the data are assumed smoother.

引用

页码：356 / 379

页数：24

共 23 条

[1]

[Anonymous], 1976, GRUNDLEHREN MATH WIS

[2]

Bardos C, 1996, CR ACAD SCI I-MATH, V323, P621

[3]

Bourgain J., 1993, Geom. Funct. Anal., V3, P107

[4]

BOURGAIN J, 1999, C PUBLICATIONS AM MA, V46, P105