Exact boundary controllability of the nonlinear Schrödinger equation - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Article Dans Une Revue Journal of Differential Equations Année : 2009

Exact boundary controllability of the nonlinear Schrödinger equation

Résumé

This paper studies the exact boundary controllability of the semilinear 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 s > n/2, or 0 ≤ s < n/2 with 1 ≤ n < 2+2s, or s = 0,1 with n = 2, then the systems are locally exactly controllable in the classical Sobolev space Hs(Ω) around any smooth solution of the cubic Schrödinger equation.

Dates et versions

hal-00600680 , version 1 (15-06-2011)

Identifiants

Citer

Lionel Rosier, Bing-Yu Zhang. Exact boundary controllability of the nonlinear Schrödinger equation. Journal of Differential Equations, 2009, 246 (10), pp.4129-4153. ⟨10.1016/j.jde.2008.11.004⟩. ⟨hal-00600680⟩
91 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More