Exact boundary controllability of the nonlinear Schrödinger equation
Authors:
Lionel Rosier
Affiliation:
a Institut Elie Cartan, UMR 7502 UHP/CNRS/INRIA, B.P. 239, 54506 Vandœuvre-lès-Nancy Cedex, France b Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221, USA
Abstract:
This paper studies the exact boundary controllability of the semi-linear Schrödinger equation posed on a bounded domain Ω⊂Rn with either the Dirichlet boundary conditions or the Neumann boundary conditions. It is shown that if