1 citations · 1 across the 4 of their papers we have counts for
4 papers
Uniform stabilization in weighted Sobolev spaces for the KdV equation posed on the half-line
Ademir Pazoto, Lionel Rosier
Studied here is the large-time behavior of solutions of the Korteweg-de Vries equation posed on the right half-line under the effect of a localized damping. Assuming as in \cite{li…
Control and Stabilization of the Nonlinear Schroedinger Equation on Rectangles
Lionel Rosier, Bing-Yu Zhang
This paper studies the local exact controllability and the local stabilization of the semilinear Schrödinger equation posed on a product of intervals (). Both internal…
Chaotic dynamical systems associated with tilings of
Lionel Rosier
In this chapter, we consider a class of discrete dynamical systems defined on the homogeneous space associated with a regular tiling of , whose most familiar example is provi…
Null controllability of a parabolic system with a cubic coupling term
Jean-Michel Coron, Sergio Guerrero, Lionel Rosier
We consider a system of two parabolic equations with a forcing term present in one equation and a cubic coupling term in the other one. We prove that the system is locally null con…