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

2023/11/21 by Rowan Killip, Killip, Rowan, Thierry Laurens +3 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2311.12334

openalex publication_date 2023/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Scattering of the defocusing Calogero--Moser derivative nonlinear Schrödinger equation
• A priori bounds and equicontinuity of orbits for the intermediate long wave equation

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