---
OA_place: publisher
OA_type: diamond
_id: '22032'
abstract:
- lang: eng
  text: We prove that the focusing and defocusing continuum Calogero–Moser models
    are well-posed in the scaling-critical space L^2+(R). In the focusing case, this
    requires solutions to have mass less than that of the soliton.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Rowan
  full_name: Killip, Rowan
  last_name: Killip
- first_name: Thierry
  full_name: Laurens, Thierry
  last_name: Laurens
- first_name: Monica
  full_name: Visan, Monica
  id: 056daca0-b8d1-11f0-964f-f91054abf8ca
  last_name: Visan
citation:
  ama: Killip R, Laurens T, Vişan M. Scaling-critical well-posedness for continuum
    Calogero–Moser models on the line. <i>Communications of the American Mathematical
    Society</i>. 2025;5(7):284-320. doi:<a href="https://doi.org/10.1090/cams/48">10.1090/cams/48</a>
  apa: Killip, R., Laurens, T., &#38; Vişan, M. (2025). Scaling-critical well-posedness
    for continuum Calogero–Moser models on the line. <i>Communications of the American
    Mathematical Society</i>. American Mathematical Society. <a href="https://doi.org/10.1090/cams/48">https://doi.org/10.1090/cams/48</a>
  chicago: Killip, Rowan, Thierry Laurens, and Monica Vişan. “Scaling-Critical Well-Posedness
    for Continuum Calogero–Moser Models on the Line.” <i>Communications of the American
    Mathematical Society</i>. American Mathematical Society, 2025. <a href="https://doi.org/10.1090/cams/48">https://doi.org/10.1090/cams/48</a>.
  ieee: R. Killip, T. Laurens, and M. Vişan, “Scaling-critical well-posedness for
    continuum Calogero–Moser models on the line,” <i>Communications of the American
    Mathematical Society</i>, vol. 5, no. 7. American Mathematical Society, pp. 284–320,
    2025.
  ista: Killip R, Laurens T, Vişan M. 2025. Scaling-critical well-posedness for continuum
    Calogero–Moser models on the line. Communications of the American Mathematical
    Society. 5(7), 284–320.
  mla: Killip, Rowan, et al. “Scaling-Critical Well-Posedness for Continuum Calogero–Moser
    Models on the Line.” <i>Communications of the American Mathematical Society</i>,
    vol. 5, no. 7, American Mathematical Society, 2025, pp. 284–320, doi:<a href="https://doi.org/10.1090/cams/48">10.1090/cams/48</a>.
  short: R. Killip, T. Laurens, M. Vişan, Communications of the American Mathematical
    Society 5 (2025) 284–320.
das_tickbox: '1'
date_created: 2026-06-19T07:42:34Z
date_published: 2025-06-23T00:00:00Z
date_updated: 2026-06-22T11:21:09Z
day: '23'
ddc:
- '500'
doi: 10.1090/cams/48
extern: '1'
external_id:
  arxiv:
  - '2311.12334'
has_accepted_license: '1'
intvolume: '         5'
issue: '7'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2311.12334
month: '06'
oa: 1
oa_version: Published Version
page: 284-320
publication: Communications of the American Mathematical Society
publication_identifier:
  issn:
  - 2692-3688
publication_status: published
publisher: American Mathematical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Scaling-critical well-posedness for continuum Calogero–Moser models on the
  line
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 5
year: '2025'
...