报告题目：Multi-bubble Bourgain-Wang solutions to mass-critical (stochastic) nonlinear Schrödinger equations

报告人：张登 (上海交通大学)

时间：4月20日 15:00-16:00

地点：腾讯会议 ID 575 879 691 没有密码

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  t 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.