抄録
We consider the scattering problem for the nonlinear Schrödinger equation in 1+1 dimensions:[Figure not available: see fulltext.] where ∂ = ∂/∂x, λ∈R{set minus}{0}, μ∈R, p>3. We show that modified wave operators for (*) exist on a dense set of a neighborhood of zero in the Lebesgue space L2(R) or in the Sobolev space H1(R)., The modified wave operators are introduced in order to control the long range nonlinearity λ|u|2u.
本文言語 | English |
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ページ(範囲) | 479-493 |
ページ数 | 15 |
ジャーナル | Communications in Mathematical Physics |
巻 | 139 |
号 | 3 |
DOI | |
出版ステータス | Published - 1991 8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