Global existence for coupled Klein-Gordon equations with different speeds
Analysis of PDEs
2010-05-31 v1
Abstract
Consider, in dimension 3, a system of coupled Klein-Gordon equations with different speeds, and an arbitrary quadratic nonlinearity. We show, for data which are small, smooth, and localized, that a global solution exists, and that it scatters. The proof relies on the space-time resonance approach; it turns out that the resonant structure of this equation has features which were not studied before, but which are generic in some sense.
Cite
@article{arxiv.1005.5238,
title = {Global existence for coupled Klein-Gordon equations with different speeds},
author = {Pierre Germain},
journal= {arXiv preprint arXiv:1005.5238},
year = {2010}
}
Comments
35 pages