We consider a linear Schrödinger equation, on a bounded interval, with bilinear control, that
represents a quantum particle in an electric field (the control). We prove the exact …

The study of the control and stabilization of the KdV equation began with the work of Russell
and Zhang in late 1980s. Both exact control and stabilization problems have been …

This paper is concerned with initial-boundary-value problems (IBVPs) for a class of
nonlinear Schrödinger equations posed either on a half line R+ or on a bounded interval (0 …

In, Russell and Zhang showed that the Korteweg-de Vries equation posed on a periodic
domain with an internal control is locally exactly controllable and locally exponentially …

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 …

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 …

We consider the Benjamin–Bona–Mahony (BBM) equation on the one-dimensional torus T=
R/(2πZ). We prove a Unique Continuation Property (UCP) for small data in H1 (T) with …

We prove global internal controllability in large time for the nonlinear Schrödinger equation
on some compact manifolds of dimension 3. The result is proved under some geometrical …

In this paper, we intend to present some already known results about the internal
controllability of the linear and nonlinear Schr\" odinger equation. After presenting the basic …

On a compact n-dimensional Riemannian manifold (M, g), we establish uniform decay rate
estimates for the linear Schrödinger and plate equations subject to an internal nonlinear …