Dynamics of Klein-Gordon on a compact surface near an homoclinic orbit
Analysis of PDEs
2013-12-09 v2
Abstract
We consider the Klein-Gordon equation on a Riemannian surface which is globally well-posed in the energy space. This equation has an homoclinic orbit to the origin, and in this paper we study the dynamics close to it. Using a strategy from Groves-Schneider, we show that there are many solutions which stay close to this homocline during all times. We point out that the solutions we construct are not small.
Keywords
Cite
@article{arxiv.1211.4155,
title = {Dynamics of Klein-Gordon on a compact surface near an homoclinic orbit},
author = {Benoît Grébert and Tiphaine Jézéquel and Laurent Thomann},
journal= {arXiv preprint arXiv:1211.4155},
year = {2013}
}
Comments
To appear in DCDS-A. The last part has been removed, and gives a separate publication