报告题目:Stochastic nonlinear Schrödinger equations in the defocusing mass and energy critical cases

报告人：张登

报告时间：下午3:00-4:00

报告地点：理学院二楼教师活动中心

 时间：11月16号（星期五）下午3:00-4:00，地点：理学院二楼教师活动中心。
报告人：张登，上海交通大学，副教授。
报告题目：Stochastic nonlinear Schrödinger equations in the defocusing mass and energy critical cases

In this talk I will present our recent work on stochastic nonlinear Schrödinger

equations, particularly in the defocusing mass-critical and energy-critical cases. For

general initial data, we prove the global existence and uniqueness of solutions in both

cases. When the quadratic variation of noise is globally bounded, we also obtain the

rescaled scattering behavior of solutions in the spaces L2, H1 as well as the

pseudo-conformal space. Moreover, the Stroock-Varadhan type theorem for the

topological support of solutions are also proved in the Strichartz and local smoothing

spaces.