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

Abstract : For slightly mass supercritical semilinear Schrodinger equations, self-similar blowup has been proven to exist and generate stable blowup dynamics, which opens the question of detailed asymptotic description. Based on the self-similar profiles constructed later by Bahri-Martel-Raphaël, we now answer the question by showing asymptotic stability of these profiles. This involves proving a non-radial self-similar Strichartz estimate and spectral analysis for the related matrix Schrordinger operator.