Stability of standing waves for the Klein–Gordon–Schrödinger system

We study the orbital stability of standing wave solutions for the Klein–Gordon–Schrödinger system in three space dimensions. It is proved that the standing wave is stable if the frequency is sufficiently large.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2010-05, Vol.365 (1), p.109-114
Main Authors: Kikuchi, Hiroaki, Ohta, Masahito
Format: Article
Language:English
Subjects:
Exact sciences and technology
Klein–Gordon–Schrödinger
Mathematical analysis
Mathematics
Sciences and techniques of general use
Stability
Standing waves
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Description
Summary:We study the orbital stability of standing wave solutions for the Klein–Gordon–Schrödinger system in three space dimensions. It is proved that the standing wave is stable if the frequency is sufficiently large.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2009.10.024