Advanced Studies in Pure Mathematics

Orbitally stable standing-wave solutions to a coupled non-linear Klein–Gordon equation

Daniele Garrisi

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

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.

Article information

Source
Nonlinear Dynamics in Partial Differential Equations, S. Ei, S. Kawashima, M. Kimura and T. Mizumachi, eds. (Tokyo: Mathematical Society of Japan, 2015), 387-398

Dates
Received: 31 January 2012
Revised: 21 February 2013
First available in Project Euclid: 30 October 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1540934236

Digital Object Identifier
doi:10.2969/aspm/06410387

Mathematical Reviews number (MathSciNet)
MR3381305

Zentralblatt MATH identifier
1342.35038

Subjects
Primary: 35A15: Variational methods 35J50: Variational methods for elliptic systems 37K40: Soliton theory, asymptotic behavior of solutions

Keywords
Orbital stability standing-waves Lyapunov function non-linear Klein–Gordon

Citation

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


Export citation