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