Instability of Standing Wave for the Klein–Gordon–Hartree Equation

Instability of Standing Wave for the Klein–Gordon–Hartree Equation

The instability property of the standing wave u ω (t, x) = eiωt φ(x) for the Klein-Gordon-Hartree equation ∂ 2 u ∂t 2 −Δu+u− (|x| −γ *|u| 2 )u = 0, x ∈R N , 0<γ<min{N,4} is investigated. For the case N ≥ 3 and ω 2 <2 N+4−γ, it is shown that the standing wave eiωt φ(X) is strongly unstable...

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Bibliographic Details
Main Authors: Li, X., Zhang, J., Wu, Yong Hong
Format: Journal Article
Published: Springer 2014
Subjects:
35A15
standing waves
35L70
35B35
strong instability
Klein-Gordon-Hartree equation
Online Access:http://hdl.handle.net/20.500.11937/16146

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