On singular stochastic dispersive PDEs

開催日時: 
2017/12/19 Tue 11:00 - 12:30
場所: 
3号館251号室
講演者: 
呉 忠弘
講演者所属: 
The University of Edinburgh
概要: 

In this talk, I will go over some of the recent developments on nonlinear dispersive PDEs, such as the nonlinear Schrödinger equations (NLS) and nonlinear wave equations (NLW), with rough stochastic forcing. In particular, taking the stochastic NLS and the stochastic nonlinear heat equations (or the stochastic quantization equation) as examples, I will describe the difference between the dispersive and parabolic problems from the viewpoint of critical regularities, etc. I will also discuss some recent development for the stochastic NLW. In particular, in the three dimensional case, I will describe the paracontrolled approach to study the stochastic NLW.