题目：Invariance of the white noise for a Schrödinger type equation

内容简介：We will discuss the Cauchy problem for the cubic fourth order nonlinear Schrödinger equation (4NLS) on the circle from probabilistic points of view. We will consider the renormalized 4NLS with white noise as initial data. Since the white noise is very rough, the deterministic local theory is out of reach. By introducing a (random resonant) nonlinear decomposition, we prove almost sure local well-posedness. Then, we apply Bourgain's invariant measure argument to extend the local solutions globally in time. 

报告人：LecturerYuzhao WangSchool of Mathematics, University of Birmingham

报告人简介：Yuzhao Wang is a Lecturer of Mathematics in University of Birmingham. He obtained his B.A. in Mathematics (with honours) from JilinUniversity in 2005. He obtained Ph.D in Mathematics from PekingUniversity in 2010. He was Visiting member of Hausdorff Research Institute for Mathematics, Germany, Jul. 2014. He was Assistant Professor, North China Electric Power University , 2010-2013. He was Postdoctoral Fellow, MemorialUniversity of Newfoundland, Canada 2013-2015. He was Postdoctoral Fellow under the ERC project “ProbDynDispEq” (no. 637995), The University of Edinburgh, UK，2016-2017. He has published research papers in a variety of mathematical journals such as Adv. Nonlinear Anal. ,Ann. Inst. H. Poincar Anal. Non Lin´eaire ,etcs.

时间：2017年9月13日（周三）上午10：00始

地点：南海楼224室

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信息科学技术学院/网络空间安全学院

2017年9月12日