-
Smoothing effect for the regularized Schrödinger equation with non controlled...
We prove that the geometric control condition is not necessary to obtain the smoothing effect and the uniform stabilization for the strongly dissipative Schrödinger... -
Solutions globales pour des équations de Schrödinger sur-critiques en toutes ...
In \cite{poiret}, we explain how we can construct global solutions for the cubic Schrödinger equation in three dimensional with initial data in $ L^2( \mathds{R}^3) $.... -
A Singular Critical Potential For The Schrödinger operator
We construct a potential $V$ on $\RR^d$, smooth away from one pole, and a sequence of quasi-modes for the operator $-\Delta+V$, which concentrate on this pole. No...
