Abstract
We outline some results on the existence of standing-wave solutions to a coupled non-linear Klein–Gordon equation. Standing-waves are obtained as minimizers of the energy under a two-charges constraint. The ground state is stable. The standing-waves are stable provided a non-degeneracy condition is satisfied.
Information
Published: 1 January 2015
First available in Project Euclid: 30 October 2018
zbMATH: 1342.35038
MathSciNet: MR3381305
Digital Object Identifier: 10.2969/aspm/06410387
Subjects:
Primary:
35A15
,
35J50
,
37K40
Keywords:
Lyapunov function
,
non-linear Klein–Gordon
,
orbital stability
,
standing-waves
Rights: Copyright © 2015 Mathematical Society of Japan
