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arXiv · 2311.12334

Scaling-critical well-posedness for continuum Calogero-Moser models

Rowan Killip·Thierry Laurens·Monica Visan
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Abstract

We prove that the focusing and defocusing continuum Calogero--Moser models are well-posed in the scaling-critical space $L^2_+(\mathbb R)$. In the focusing case, this requires solutions to have mass less than that of the soliton.

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Rowan Killip, Thierry Laurens, Monica Visan. 2023-11-21. Scaling-critical well-posedness for continuum Calogero-Moser models. https://arxiv.org/abs/2311.12334

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