On Asymptotic Stability and Strichartz Estimate for Self-similar Blowup of Mass Supercritical NLS
Time: 2023-09-23
Published By: He Liu
Speaker(s): Zexing Li(University of Cambridge)
Time: 15:00-16:00 September 25, 2023
Venue: Room 29, Quan Zhai, BICMR
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.
