Diff. Geom, Math. Phys., PDE Seminar: Yuzhao Wang

  • Date: 03/29/2016
  • Time: 15:30
Lecturer(s):
Yuzhao Wang, University of Edinburgh
Location: 

University of British Columbia

Topic: 

On the well- posedness of the periodic fourth order Schrodinger equation in negative Sobolev spaces

Description: 

We will discuss the Cauchy problem for the cubic fourth order nonlinear Schrodinger equation (4NLS) on the circle. We first prove non-existence of solutions to (4NLS) for initial data lying strictly in negative Sobolev spaces, by using the short time Fourier restriction norm method. Then, we focus on the well-posedness issue of the renoramilzed 4NLS (so called the Wick ordered W4NLS). In particular, by performing normal form reductions infinite many times, we prove well-posedness of (W4NLS) in negative Sobolev spaces. This talk is based on a joint work with Tadahiro Oh (University of Edinburgh).

Other Information: 

Location: ESB 2012