Chennai Mathematical Institute


3.30 p.m.
Space-time resonances for the nonlinear Schrodinger equation

Nicolas Laillet
ENS, France.


The aim of this talk is to give an overview of the three main methods used to deal with well-posedness of the nonlinear Schodinger equation: Strichartz estimates, Bourgain spaces and space-time resonances. I will focus of this third method, developped by Germain, Masmoudi and Shatah (Courant Institute), which is the only one able to give global existence results. A physical interpretation of these phenomena will also be given.