On Asymptotic Stability and Strichartz Estimate for Self-similar Blowup of Mass Supercritical NLS
发布时间：2023年09月23日
浏览次数：1833
发布者: He Liu
主讲人： Zexing Li(University of Cambridge)
活动时间： 从 2023-09-25 15:00 到 16:00
场地： 北京国际数学研究中心，全斋全29教室
For slightly mass supercritical nonlinear Schrodinger equations (NLS), self-similar blowup has been proven to exist and generate stable blowup dynamics. However, the asymptotic stability was missing. With suitable self-similar profiles constructed recently, we take one further step to show their finite codimensional asymptotic stability. One core ingredient is a Strichartz estimate for the linearized matrix operator, where an "enhanced dispersion" phenomenon for the propagator is exploited.
