{"das_tickbox":"1","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."}],"publication":"Communications of the American Mathematical Society","date_published":"2025-06-23T00:00:00Z","external_id":{"arxiv":["2311.12334"]},"author":[{"last_name":"Killip","full_name":"Killip, Rowan","first_name":"Rowan"},{"first_name":"Thierry","full_name":"Laurens, Thierry","last_name":"Laurens"},{"full_name":"Visan, Monica","last_name":"Visan","first_name":"Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca"}],"day":"23","oa_version":"Published Version","issue":"7","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2311.12334"}],"title":"Scaling-critical well-posedness for continuum Calogero–Moser models on the line","type":"journal_article","language":[{"iso":"eng"}],"publication_status":"published","article_type":"original","doi":"10.1090/cams/48","publication_identifier":{"issn":["2692-3688"]},"year":"2025","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","date_created":"2026-06-19T07:42:34Z","intvolume":"         5","publisher":"American Mathematical Society","OA_place":"publisher","month":"06","extern":"1","page":"284-320","article_processing_charge":"No","tmp":{"name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png","short":"CC BY-NC-ND (4.0)"},"volume":5,"OA_type":"diamond","quality_controlled":"1","has_accepted_license":"1","citation":{"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.","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>","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>.","short":"R. Killip, T. Laurens, M. Vişan, Communications of the American Mathematical Society 5 (2025) 284–320.","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.","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>","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>."},"scopus_import":"1","arxiv":1,"ddc":["500"],"status":"public","_id":"22032","date_updated":"2026-06-22T11:21:09Z","oa":1}