We study the orbital instability of standing wave solutions for the Klein-Gordon-Schrödinger system in three space dimensions. It is proved that the standing wave is unstable if the frequency is sufficiently small.
@article{1249046366,
author = {KIKUCHI, Hiroaki and OHTA, Masahito},
title = {Instability of standing waves for the Klein-Gordon-Schr\"odinger system},
journal = {Hokkaido Math. J.},
volume = {37},
number = {4},
year = {2008},
pages = { 735-748},
language = {en},
url = {http://dml.mathdoc.fr/item/1249046366}
}
KIKUCHI, Hiroaki; OHTA, Masahito. Instability of standing waves for the Klein-Gordon-Schrödinger system. Hokkaido Math. J., Tome 37 (2008) no. 4, pp. 735-748. http://gdmltest.u-ga.fr/item/1249046366/