The cubic NLS on the line with an inverse square potential
Analysis of PDEs
2025-08-05 v1
Abstract
We establish modified scattering for solutions of the cubic NLS on the line with a repulsive inverse square potential and small localized data. The method is based on a comparison between the free and distorted Galilei vector fields and a wave packet transform.
Keywords
Cite
@article{arxiv.2508.01919,
title = {The cubic NLS on the line with an inverse square potential},
author = {Joachim Krieger and Wilhelm Schlag and Klaus Widmayer},
journal= {arXiv preprint arXiv:2508.01919},
year = {2025}
}