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 satis ed.
| Original language | English |
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| Title of host publication | Nonlinear dynamics in partial differential equations |
| Editors | Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi |
| Place of Publication | Tokyo |
| Publisher | Mathematical Society of Japan, Tokyo |
| Pages | 387-398 |
| Number of pages | 12 |
| Volume | 64 |
| ISBN (Print) | 9784864970235 |
| Publication status | Published - Apr 2015 |
Publication series
| Name | Advanced Studies in Pure Mathematics |
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Keywords
- Lyapunov function
- non-linear Klein–Gordon
- orbital stability
- standing-waves
ASJC Scopus subject areas
- Applied Mathematics
- Analysis
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Garrisi, D. (2015). Orbitally stable standing-wave solutions to a coupled non-linear Klein-Gordon equation. In S.-I. Ei, S. Kawashima, M. Kimura, & T. Mizumachi (Eds.), Nonlinear dynamics in partial differential equations (Vol. 64, pp. 387-398). (Advanced Studies in Pure Mathematics). Mathematical Society of Japan, Tokyo. https://doi.org/10.2969/aspm/06410387