Year: 2008
Journal of Partial Differential Equations, Vol. 21 (2008), Iss. 4 : pp. 303–314
Abstract
This paper deals with a type of standing waves for the coupled nonlinear Klein-Gordon equations in three space dimensions. First we construct a suitable constrained variational problem and obtain the existence of the standing waves with ground state by using variational argument. Then we prove the orbital instability of the standing waves by defining invariant sets and applying some priori estimates.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-JPDE-5284
Journal of Partial Differential Equations, Vol. 21 (2008), Iss. 4 : pp. 303–314
Published online: 2008-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Orbital instability