Diff. Geom, Math. Phys., PDE Seminar: Yuzhao Wang
Topic
On the well- posedness of the periodic fourth order Schrodinger equation in negative Sobolev spaces
Speakers
Details
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).
Additional Information
Location: ESB 2012
Yuzhao Wang, University of Edinburgh
Yuzhao Wang, University of Edinburgh
This is a Past Event
Event Type
Scientific, Seminar
Date
March 29, 2016
Time
-
Location