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

主讲人：苏一鸣 副教授  浙江工业大学

讲座时间：2023年9月15日（周五）11:00-12:00

讲座地点：教三楼西312

主讲人简介：

  苏一鸣，浙江工业大学，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。目前在非线性薛定谔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.》等数学领域的权威期刊上。

主讲内容：

  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 Prof. Cao Daomin and Prof. Zhang Deng.