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

Published 21 Nov 2023 in math.AP | (2311.12334v1)

Abstract: We prove that the focusing and defocusing continuum Calogero--Moser models are well-posed in the scaling-critical space $L2_+(\mathbb R)$. In the focusing case, this requires solutions to have mass less than that of the soliton.

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