Seminars & Colloquia Calendar
Gavin Stewart -- Scattering and localized states for nonlinear Schrödinger equations
Gavin Stewart - Rutgers University
Location: Hill 705
Date & time: Thursday, 07 December 2023 at 2:30PM - 3:30PM
In this talk, I will discuss some results on the long time behavior of nonlinear Schrödinger equations with potentials. First, I will show that solutions which are initially localized and nonradiative can only spread slowly in space. Then, I will focus on the mass supercritical equation, and show that solutions decompose into a free wave and a slowly spreading remainder. A key ingredient in these arguments is the use of Morawetz and interaction Morawetz estimates localized to an exterior region in space-time. This is joint work with Avy Soffer.