- Series
- PDE Seminar
- Time
- Tuesday, October 5, 2010 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 255
- Speaker
- Prof. Shijun Zheng – Georgia Southern University – szheng@georgiasouthern.edu – http://math.georgiasouthern.edu/~szheng
- Organizer
- Ronghua Pan
The dissipative mechanism of Schroedinger equation
is mathematically described by the decay estimate of solutions.
In this talk I mainly focused on the use of harmonic analysis
techniques to obtain suitable time decay estimates and then
prove the local wellposedness for semilinear
Schroedinger equation in certain external magnetic field.
It turns out that the scattering with a potential may lead to understanding of the wellposedness of NLS in the presence of
nonsmooth or large initial data.
Part of this talk is a joint work with Zhenqiu Zhang.