连续Calogero-Moser模型的尺度临界适定性
Scaling-critical well-posedness for continuum Calogero-Moser models
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AI总结:
本文证明了聚焦与散焦连续Calogero-Moser模型在尺度临界空间$L^2_+(\mathbb R)$中的适定性,其中聚焦情形需解的质量小于孤子质量。
AI中文摘要:
我们证明聚焦与散焦连续Calogero-Moser模型在尺度临界空间$L^2_+(\mathbb R)$中是适定的。在聚焦情形下,这要求解的质量小于孤子的质量。
英文摘要:
We prove that the focusing and defocusing continuum Calogero--Moser models are well-posed in the scaling-critical space $L^2_+(\mathbb R)$. In the focusing case, this requires solutions to have mass less than that of the soliton.