| Language |
English
|
| From |
2010/07/14 15:30
|
| To |
2010/07/14 17:00
|
| Place | Room 305, Building No.3, Faculty of Science, Kyoto University |
| Seminar Name | NLPDE Seminar |
| Title |
Global well-posedness and scattering for the defocusing, $L2$-critical, nonlinear Schrodinger equation when $d \geq 3$. |
| Field |
Analysis
|
| Speakers | Benjamin Dodson |
| Affiliation | University of California |
| Abstract | In these talks we will investigate the $L2$ critical Schrodinger
initial value problem
$i u_t+\Delta u=|u|^{4/d}u, \, u(0,x)=u_0$
in dimensions $d \geq 3$. We prove this using the concentration compactness
method. We use an interaction Morawetz estimate localized to low
frequencies. |
|