1 citations · 2 across the 5 of their papers we have counts for
4 papers · 1 filter
Unique continuation property and control for the Benjamin-Bona-Mahony equation on the torus
Lionel Rosier, Bing-Yu Zhang
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 H^1(T) with nonnegativ…
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…