| 日時 | 1月14日(金) 15:30--17:00 |
|---|---|
| 会場 | 福岡大学 セミナーハウス 2階 セミナー室 |
| 講師 | Soonsik Kwon 氏 (Department of Mathematical Science, KAIST) |
| 題目 | A remark on normal forms and the upside-down I-method for periodic NLS: growth of higher Sobolev norms |
| 概要 | We study growth of higher Sobolev norms of solutions to the one-dimensional periodic nonlinear Schrodinger equation (NLS). It is well-known that growth of Sobolev norm is at most polynomial rate by Bourgain, and other works. Here we use the normal form reduction and the upside-down I-method to reprove this and improve known result for some case. I will discuss the idea of normal form reduction and how we combine that with upside-down I-method. This is a collaboration with Jim Colliander and Tadahiro Oh. |