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