报告题目：On uniqueness of multi-bubble blow-up solutions and multi-solitons to L^2-critical NLS
报 告 人：苏一鸣（浙江工业大学 副教授）
报告时间：2023年3月9日 13：30开始
报告地点：9-113报告厅
报告摘要：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. The proof is mainly based on several upgradation procedures of the convergence of remainder in the geometrical decomposition, in which the key ingredients are several monotone functionals constructed particularly in the multi-bubble case.
报告人简介：苏一鸣，2014年在中国科学院数学与系统科学研究院获博士学位，现为浙江工业大学理学院副教授。研究方向主要为偏微分方程，特别是在非线性Schrödinger方程取得重要进展，在 ARMA、J. Funct. Anal. Probability theory and related fields等期刊上发表高水平论文多篇。主持完成国家自然科学基金青年项目等多项课题。
