Abstract
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].
Original language | English |
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Pages (from-to) | 259-276 |
Number of pages | 18 |
Journal | Advances in Differential Equations |
Volume | 10 |
Issue number | 3 |
Publication status | Published - 2005 Dec 1 |
Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics