Scaling-critical well-posedness for continuum Calogero

article Scaling-critical well-posedness for continuum Calogero–Moser models on the line published yes Rowan Killip author Thierry Laurens author Monica Visan author 056daca0-b8d1-11f0-964f-f91054abf8ca 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. American Mathematical Society2025 eng Communications of the American Mathematical Society 2692-3688 2311.1233410.1090/cams/48 57284-320 yes R. Killip, T. Laurens, and M. Vişan, “Scaling-critical well-posedness for continuum Calogero–Moser models on the line,” Communications of the American Mathematical Society, vol. 5, no. 7. American Mathematical Society, pp. 284–320, 2025. Killip, Rowan, Thierry Laurens, and Monica Vişan. “Scaling-Critical Well-Posedness for Continuum Calogero–Moser Models on the Line.” Communications of the American Mathematical Society. American Mathematical Society, 2025. <a href="https://doi.org/10.1090/cams/48">https://doi.org/10.1090/cams/48</a>. Killip R, Laurens T, Vişan M. Scaling-critical well-posedness for continuum Calogero–Moser models on the line. Communications of the American Mathematical Society. 2025;5(7):284-320. doi:<a href="https://doi.org/10.1090/cams/48">10.1090/cams/48</a> R. Killip, T. Laurens, M. Vişan, Communications of the American Mathematical Society 5 (2025) 284–320. 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. 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. American Mathematical Society. <a href="https://doi.org/10.1090/cams/48">https://doi.org/10.1090/cams/48</a> Killip, Rowan, et al. “Scaling-Critical Well-Posedness for Continuum Calogero–Moser Models on the Line.” Communications of the American Mathematical Society, 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>. 220322026-06-19T07:42:34Z2026-06-22T11:21:09Z