The cubic NLS on the line with an inverse square potential

Fuente: arXiv
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Main Authors: Krieger, Joachim, Schlag, Wilhelm, Widmayer, Klaus
Format: Preprint
Published: 2025
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author Krieger, Joachim
Schlag, Wilhelm
Widmayer, Klaus
author_facet Krieger, Joachim
Schlag, Wilhelm
Widmayer, Klaus
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2508_01919
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The cubic NLS on the line with an inverse square potential
Krieger, Joachim
Schlag, Wilhelm
Widmayer, Klaus
Analysis of PDEs
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.
title The cubic NLS on the line with an inverse square potential
topic Analysis of PDEs
url https://arxiv.org/abs/2508.01919