Stability of standing waves for nonlinear schrödinger equations with critical power nonlinearity and potentials

研究成果: Article査読

21 被引用数 (Scopus)

抄録

We study the stability of standing waves eiωtφω(x) for a nonlinear Schrödinger equation with critical power nonlinearity |u|4/nu and a potential V (x) in Rn. Here, ω ∈ R and φω(x) is a ground state of the stationary problem. Under suitable assumptions on V (x), we show that eiωtφω(x) is stable for sufficiently large ω. This result gives a different phenomenon from the case V (x) = 0 where the strong instability was proved by M. I. Weinstein [25].

本文言語English
ページ(範囲)259-276
ページ数18
ジャーナルAdvances in Differential Equations
10
3
出版ステータスPublished - 2005 12 1
外部発表はい

ASJC Scopus subject areas

  • 分析
  • 応用数学

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