The cubic NLS on the line with an inverse square potential

Joachim Krieger, Wilhelm Schlag, Klaus Widmayer

3/8/25 Published in : arXiv:2508.01919

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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