报告题目：Multi-bubble Bourgain-Wang solutions to mass-critical (stochastic) nonlinear Schrödinger equations
时 间：2022年4月6日（星期三）下午15：00
地 点：腾讯会议（ID: 353 279 334）
主 办：数学与统计学院
参加对象：概率统计方向师生
报告摘要：In this talk, we are concerned with a general class of focusing mass-critical nonlinear Schrödinger equations (NLS) with lower order perturbations, for which the pseudoconformal symmetry and the conservation law of energy can be absent. Two canonical examples are the stochastic NLS driven by the linear multiplicative noise and the deterministic NLS. In dimensions one and two, we construct Bourgain-Wang type blow-up solutions, concentrating at finitely many distinct singularities, and prove that they are unique if the asymptotical behavior is within the order 
, for 
close to the blow-up time T. Moreover, through the pseudo-conformal transform, this also provides examples of non-pure multi-solitons (with dispersive term) to mass-critical deterministic NLS. The talk is based on the work in joint with Michael Röckner and Yiming Su.
报告人简介： 张登，上海交通大学教授。主要从事随机偏微分方程和随机矩阵理论的研究，已在Probab. Theory Related Fields， Comm. Math. Phys. ，J. Differential Equations 等国际权威数学期刊发表学术论文多篇。