arXiv Analytics

Sign in

arXiv:2406.07713 [math.AP]AbstractReferencesReviewsResources

Almost surely smoothed scattering for cubic NLS

Nicolas Burq, Herbert Koch, Nicola Visciglia, Nikolay Tzvetkov

Published 2024-06-11Version 1

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.

Comments: 23 pages
Categories: math.AP
Subjects: 35Q55, 35R60
Related articles: Most relevant | Search more
arXiv:2003.05011 [math.AP] (Published 2020-03-10)
Sharp well-posedness for the cubic NLS and mKdV in $H^s(\mathbb R)$
arXiv:0905.3000 [math.AP] (Published 2009-05-18, updated 2009-11-24)
Global well-posedness for cubic NLS with nonlinear damping
arXiv:2306.02811 [math.AP] (Published 2023-06-05)
Global approximation for the cubic NLS with strong magnetic confinement

Links

Toolbox