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--- 分析与偏微分方程讨论班(2023秋季第31讲)

On uniqueness of multi-bubble blow-up solutions and multi-solitons to L^2-critical NLS

苏一鸣 (浙江工业大学)

时间：2024年1月2日（周二）下午14:00-15:00

地点：#腾讯会议：840-946-595

点击链接直接加入会议：https://meeting.tencent.com/dm/jrqEMZQUsXfa

摘要: We are concerned with the focusing L^2-critical nonlinear Schrodinger equations. The uniqueness is proved for a large energy class of multi-bubble blow-up solutions, which converge to a sum of K pseudo-conformal blow-up solutions particularly with the low rate (T-t)^{0+}. Moreover, we also prove the uniqueness in the energy class of multi-solitons which converge to a sum of K solitary waves with convergence rate (1/t)^{2+}. The uniqueness class is further enlarged to contain the multi-solitons with even lower convergence rate (1/t)^{1/2+} in the pseudo-conformal space. This talk is based on a joint work with Cao Daomin and Zhang Deng.

报告人简介: 苏一鸣，浙江工业大学理学院副教授，2014年博士毕业于中国科学院数学与系统科学研究院，研究方向为偏微分方程。目前在非线性色散方程解的长时间行为上取得了若干研究成果，相关工作发表在《Arch. Ration. Mech. Anal.》，《Probab. Theory Relat. Fields》,《Trans. Amer. Math. Soc.》,《J. Funct. Anal.》等期刊上。

邀请人：戴蔚

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