题目: On asymptotic stability for self-similar blowup of mass supercritical NLS

报告人：李泽兴 (CY Cergy Paris Université)

时间：5月5日下午19:00-20:00

地点：Zoom meeting

https://nus-sg.zoom.us/j/82242758637?pwd=wDkuohKAYyv90M4ZsizXqgsOmXjBbJ.1

Meeting ID: 822 4275 8637

Passcode: 342012

摘要: 

For slightly mass supercritical semilinear Schrodinger equations, self-similar blowup has been proven to exist and generate stable blowup dynamics, but a detailed asymptotic structure was missing. We will discuss two results leading to the asymptotic stability. Firstly, we prove a finite codimensional version by introducing Strichartz estimate for the linearized matrix operator; and secondly, in a forthcoming work, we count all the unstable directions of the matrix operator and then prove the asymptotic stability without losing codimensions. This is a spectral bifurcation problem for non-self-adjoint and non-relatively-bounded high-dimensional perturbation.