Benjamin Dodson : Scattering for the nonlinear Schrödinger equation in a critical space

Posted by Anudeep Arora , part of the Analysis and Applied Mathematics Seminar.

At

March 28, 2022, 4 p.m.

In

Zoom

Abstract

In this talk we will discuss global well-posedness and scattering results for the defocusing, nonlinear Schrödinger equation with initial data in a Besov space. The Besov space is critical under the scaling symmetry. Additionally, we obtain scattering size bounds that are polynomially dependent upon the critical Besov norm.