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

  • Date: 03/29/2016
  • Time: 15:30
Yuzhao Wang, University of Edinburgh

University of British Columbia


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


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).

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Location: ESB 2012