Advanced Studies in Pure Mathematics
- Adv. Stud. Pure Math.
- Nonlinear Dynamics in Partial Differential Equations, S. Ei, S. Kawashima, M. Kimura and T. Mizumachi, eds. (Tokyo: Mathematical Society of Japan, 2015), 387 - 398
Orbitally stable standing-wave solutions to a coupled non-linear Klein–Gordon equation
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.
Received: 31 January 2012
Revised: 21 February 2013
First available in Project Euclid: 30 October 2018
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Garrisi, Daniele. Orbitally stable standing-wave solutions to a coupled non-linear Klein–Gordon equation. Nonlinear Dynamics in Partial Differential Equations, 387--398, Mathematical Society of Japan, Tokyo, Japan, 2015. doi:10.2969/aspm/06410387. https://projecteuclid.org/euclid.aspm/1540934236