Nonlinear Partial Differential Equations

Date: January 24, 2023

Time: 3:00PM - 4:00PM

Location: BLOC 302

Speaker: Benjamin Dodson, Johns Hopkins University

Title: Rigidity for the one dimensional, quintic nonlinear Schrodinger equation

Abstract: In this talk, we prove rigidity for the one dimensional, quintic nonlinear Schrodinger equation with mass equal to the mass of the soliton. We prove that non-scattering solutions are either the soliton or a pseudoconformal transformation of the soliton.