抄録
We consider the scattering problem for the nonlinear Schrödinger equations with interactions behaving as a power p at zero. In the critical and subcritical cases (s ≥ n/2-2/(p-1) ≥ 0), we prove the existence and asymptotic completeness of wave operators in the sense of Sobolev norm of order s on a set of asymptotic states with small homogeneous norm of order n/2-2/(p-1) in space dimension n ≥ 1.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 397-410 |
| ページ数 | 14 |
| ジャーナル | Reviews in Mathematical Physics |
| 巻 | 9 |
| 号 | 3 |
| DOI | |
| 出版ステータス | Published - 1997 4月 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 統計物理学および非線形物理学
- 数理物理学