| Language |
English
|
| From |
2011/02/04 15:00
|
| To |
2011/02/04 16:00
|
| Place | Room 251 Building No.3, Faculty of Science, Kyoto University |
| Seminar Name | NLPDE Seminar |
| Title |
inite time extinction by nonlinear damping for the Schrodinger equation |
| Field |
Analysis
|
| Speakers | Clement Gallo |
| Affiliation | Universite Montpellier 2 |
| Abstract | We consider the Schrodinger equation on a compact manifold, in the presence of a nonlinear damping term, which is homogeneous and sublinear. For initial data in the energy space, we construct a weak solution, defined for all positive time, which is shown to be unique. In the one-dimensional case, we show that it becomes zero in finite time. In the two and three-dimensional cases, we prove the same result under the assumption of extra regularity on the initial datum. |
| Note | Joint seminar with Kyoto Dynamical Systems Seminar
http://www.math.kyoto-u.ac.jp/dynamics/ |
| Link | http://www.math.kyoto-u.ac.jp/~yosihiro/nlpde/nlpde.html |
|