| Language |
English
|
| From |
2011/10/28 15:30
|
| To |
2011/10/28 17:30
|
| Place | Room 251, Building No.3, Faculty of Science, Kyoto University |
| Seminar Name | NLPDE Seminar |
| Title |
A Weak form of The Soliton Resolution Conjecture For High-Dimensional BiSchrodinger Equations |
| Field |
Analysis
|
| Speakers | Tristan Roy |
| Affiliation | 京都大学大学院理学研究科 |
| Abstract | The soliton resolution conjecture says that solutions of semilinear fourth-order Schrodinger equations that do not blow up in finite time should be divided as time goes to infinity into a radiative part and a nonradiative part. The radiative part corresponds to a free fourth-order Schrodinger solution. It is believed that the nonradiative part is made of a finite sum of stationary or traveling solitons in most of the cases. This statement is known to be very difficult to prove. In this talk, we show a weak form of this soliton resolution conjecture. More precisely, we show that the orbit of the nonradiative part approaches as time goes to infinity a compact set modulo translations. |
| Link | http://www.math.kyoto-u.ac.jp/~yosihiro/nlpde/nlpde.html |
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