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arXiv · 2502.02162

New invariant surface measures for the cubic Schr\"odinger equation

Jean-Baptiste Casteras·Ana Bela Cruzeiro·Annie Millet
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Abstract

We construct new invariant measures supported on mass level sets for the cubic defocusing nonlinear Schr\"odinger equation in dimensions $1$ and $2$.

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Jean-Baptiste Casteras, Ana Bela Cruzeiro, Annie Millet. 2025-02-04. New invariant surface measures for the cubic Schr\"odinger equation. https://arxiv.org/abs/2502.02162

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