Submitted by Jorge Cisneros
on
Speaker: Maria Ntekoume, Rice University
Date: May 12, 2022
Title: Global well-posedness for the derivative nonlinear Schrödinger equation
Abstract: This talk focuses on the well-posedness of the derivative nonlinear Schrödinger equation (DNLS) at low regularity. This model is known to be completely integrable and L2-critical with respect to scaling. However, until recently not much was known regarding the well-posendess of the equation below H1/2. In this talk we prove that the problem is well-posed in the critical space L2 on the line, highlighting several recent results that led to this resolution. This is joint work with Benjamin Harrop-Griffiths, Rowan Killip, and Monica Visan.