Almost surely smoothed scattering for cubic NLS
Analysis of PDEs
2024-10-28 v2
Abstract
We consider cubic NLS in dimensions 2, 3, 4 and we prove that almost surely solutions with randomized initial data at low regularity scatter. Moreover, we establish some smoothing properties of the associated scattering operator and precise the rate of convergence.
Cite
@article{arxiv.2406.07713,
title = {Almost surely smoothed scattering for cubic NLS},
author = {Nicolas Burq and Herbert Koch and Nicola Visciglia and Nikolay Tzvetkov},
journal= {arXiv preprint arXiv:2406.07713},
year = {2024}
}
Comments
23 pages, small corrections