Global well-posedness for the defocusing, cubic nonlinear Schrödinger equation with initial data in a critical space
Benjamin Dodson
Johns Hopkins University, Baltimore, USA
![Global well-posedness for the defocusing, cubic nonlinear Schrödinger equation with initial data in a critical space cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rmi-volume-38-issue-4.png&w=3840&q=90)
Abstract
In this note we prove global well-posedness for the defocusing, cubic nonlinear Schrödinger equation with initial data lying in a critical Sobolev space.
Cite this article
Benjamin Dodson, Global well-posedness for the defocusing, cubic nonlinear Schrödinger equation with initial data in a critical space. Rev. Mat. Iberoam. 38 (2022), no. 4, pp. 1087–1100
DOI 10.4171/RMI/1295