Global well-posedness for the derivative nonlinear Schrödinger equation in $L^2(\mathbb{R})$

Benjamin Harrop-Griffiths, Rowan Killip, Maria Ntekoume +1

We prove that the derivative nonlinear Schrödinger equation in one space dimension is globally well-posed on the line in $L^2(\mathbb{R})$, which is the scaling-critical space for…