Global well-posedness for the derivative nonlinear Schr\"odinger equation in $L^2(\mathbb{R})$
Analysis of PDEs
2023-09-11 v2
Abstract
We prove that the derivative nonlinear Schr\"odinger equation in one space dimension is globally well-posed on the line in , which is the scaling-critical space for this equation.
Keywords
Cite
@article{arxiv.2204.12548,
title = {Global well-posedness for the derivative nonlinear Schr\"odinger equation in $L^2(\mathbb{R})$},
author = {Benjamin Harrop-Griffiths and Rowan Killip and Maria Ntekoume and Monica Visan},
journal= {arXiv preprint arXiv:2204.12548},
year = {2023}
}