Scaling-critical well-posedness for continuum Calogero–Moser models on the line
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.
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Author
Killip, Rowan;
Laurens, Thierry;
Vişan, MonicaISTA
Abstract
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.
Publishing Year
Date Published
2025-06-23
Journal Title
Communications of the American Mathematical Society
Publisher
American Mathematical Society
Volume
5
Issue
7
Page
284-320
ISSN
IST-REx-ID
Cite this
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:10.1090/cams/48
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. https://doi.org/10.1090/cams/48
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. https://doi.org/10.1090/cams/48.
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 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, 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:10.1090/cams/48.
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