Special Session 74: 

Long-time asymptotics for the cubic NLS in 1d

Gong Chen
Department of Mathematics, University of Toronto
Canada
Co-Author(s):    Fabio Pusateri
Abstract:
I will discuss the long-time asymptotics of small solutions to the 1d cubic NLS with a potential. Using distorted Fourier transforms, localized dispersive estimates, we obtain the long-time asymptotics for the 1d cubic NLS under very mill assumptions on potentials. This is joint work with Fabio Pusateri.