Scattering for the defocusing, cubic nonlinear Schr{\"o}dinger equation with initial data in a critical space
Analysis of PDEs
2021-10-15 v1
Abstract
In this note we prove scattering for a defocusing nonlinear Schr{\"o}dinger equation with initial data lying in a critical Besov space. In addition, we obtain polynomial bounds on the scattering size as a function of the critical Besov norm.
Keywords
Cite
@article{arxiv.2110.06987,
title = {Scattering for the defocusing, cubic nonlinear Schr{\"o}dinger equation with initial data in a critical space},
author = {Benjamin Dodson},
journal= {arXiv preprint arXiv:2110.06987},
year = {2021}
}