Large-data equicontinuity for the derivative NLS
Analysis of PDEs
2021-12-30 v2
Abstract
We consider the derivative NLS equation in one spatial dimension, which is known to be completely integrable. We prove that the orbits of bounded and equicontinuous sets of initial data remain bounded and equicontinuous, not only under this flow, but under the entire hierarchy. This allows us to remove the small-data restriction from prior conservation laws and global well-posedness results.
Cite
@article{arxiv.2106.13333,
title = {Large-data equicontinuity for the derivative NLS},
author = {Benjamin Harrop-Griffiths and Rowan Killip and Monica Visan},
journal= {arXiv preprint arXiv:2106.13333},
year = {2021}
}
Comments
28 pages