抄録
We study the smoothing effect in space and asymptotic behavior in time of solutions to the Cauchy problem for the nonlinear Schrödinger equation with interaction described by the integral of the intensity with respect to one direction in two space dimensions. A detailed description is given on the phase modification of scattering solutions by taking into account the long range effect of the interaction.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 681-703 |
| ページ数 | 23 |
| ジャーナル | Communications in Contemporary Mathematics |
| 巻 | 6 |
| 号 | 4 |
| DOI | |
| 出版ステータス | Published - 2004 8月 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 数学 (全般)
- 応用数学