报 告 人：张登博士（上海交通大学）
报告题目：Stochastic nonlinear Schrödinger equation: 
well-posedness and noise effects on blow-up.
报告时间：2015 年9月7日（周一）下午4：30
报告地点：静远楼1506学术报告厅
Abstract:
In this talk, we will present well-posedness results in the energy space for the stochastic nonlinear Schrödinger equation with linear multiplicative noise. The exponents of the nonlinear term obtained here are optimal for the global well-posedness, hence this work improves earlier well-posedness results in the conservative case. Moreover, the noise effects on blow-up are also presented. In contrast to the conservative case, we prove that in the non-conservative focusing mass-(super)critical case, adding a large noise one can, with high probability, prevent blow-up on the bounded time interval with . In particular, for the space-independent noise the explosion even can be prevented on the whole time interval with high probability.
张登教授个人简介：
张登，2014年博士毕业，获得德国比勒费尔德大学和中国科学院大学博士学位，目前在上海交通大学从事博士后研究工作，主要研究兴趣为随机偏微分方程和随机矩阵。