Instability of standing waves for the Klein-Gordon-Schrödinger system

Hiroaki KIKUCHI; Masahito OHTA

doi:10.14492/hokmj/1249046366

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Home > Journals > Hokkaido Math. J. > Volume 37 > Issue 4 > Article

November 2008 Instability of standing waves for the Klein-Gordon-Schrödinger system

Hiroaki KIKUCHI, Masahito OHTA

Hokkaido Math. J. 37(4): 735-748 (November 2008). DOI: 10.14492/hokmj/1249046366

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Abstract

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.

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Hiroaki KIKUCHI. Masahito OHTA. "Instability of standing waves for the Klein-Gordon-Schrödinger system." Hokkaido Math. J. 37 (4) 735 - 748, November 2008. https://doi.org/10.14492/hokmj/1249046366

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Published: November 2008

First available in Project Euclid: 31 July 2009

zbMATH: 1173.35688

MathSciNet: MR2474173

Digital Object Identifier: 10.14492/hokmj/1249046366

Subjects:

Primary: 35Q55

Secondary: 35B35

Keywords: instability , Klein-Gordon-Schrödinger , standing waves

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Hokkaido Math. J.

Vol.37 • No. 4 • November 2008

Hokkaido University, Department of Mathematics

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Hiroaki KIKUCHI, Masahito OHTA "Instability of standing waves for the Klein-Gordon-Schrödinger system," Hokkaido Mathematical Journal, Hokkaido Math. J. 37(4), 735-748, (November 2008)

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