• Corpus ID: 238856986

# Scattering for the defocusing, cubic nonlinear Schr{\"o}dinger equation with initial data in a critical space

@inproceedings{Dodson2021ScatteringFT,
title={Scattering for the defocusing, cubic nonlinear Schr\{\"o\}dinger equation with initial data in a critical space},
author={Benjamin Dodson},
year={2021}
}
In this note we prove scattering for a defocusing nonlinear Schrödinger 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.

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