抄録
We prove decay and scattering of solutions of the nonlinear Schrödinger equation (NLS) in ℝ with pure power nonlinearity with exponent 3<p<5 when the initial datum is small in Σ (bounded energy and variance) in the presence of a linear inhomogeneity represented by a linear potential that is a real-valued Schwarz function. We assume absence of discrete modes. The proof is analogous to the one for the translation-invariant equation. In particular, we find appropriate operators commuting with the linearization.
本文言語 | English |
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ページ(範囲) | 957-981 |
ページ数 | 25 |
ジャーナル | Communications on Pure and Applied Mathematics |
巻 | 67 |
号 | 6 |
DOI | |
出版ステータス | Published - 2014 6月 |
外部発表 | はい |
ASJC Scopus subject areas
- 数学 (全般)
- 応用数学