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arXiv · 2508.01919

The cubic NLS on the line with an inverse square potential

Joachim Krieger·Wilhelm Schlag·Klaus Widmayer
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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.

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Joachim Krieger, Wilhelm Schlag, Klaus Widmayer. 2025-08-03. The cubic NLS on the line with an inverse square potential. https://arxiv.org/abs/2508.01919

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