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

Monica Visan; Rowan Killip; Thierry Laurens

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

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arxiv 2311.12334 v1 pith:XFJJDXAV submitted 2023-11-21 math.AP

Rowan Killip , Thierry Laurens , Monica Visan This is my paper · ORCID

classification math.AP

keywords continuumfocusingmodelsscaling-criticalcalogero--mosercalogero-mosercasedefocusing

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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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