Multispeed Klein-Gordon systems in dimension three
Analysis of PDEs
2016-02-05 v1
Abstract
We consider long time evolution of small solutions to general multispeed Klein-Gordon systems in 3+1 dimensions. We prove that such solutions are always global and scatter to a linear flow, thus extending previous partial results. The main new ingredients of our method is an improved linear dispersion estimate exploiting the asymptotic spherical symmetry of Klein-Gordon waves, and a corresponding bilinear oscillatory integral estimate.
Cite
@article{arxiv.1602.01820,
title = {Multispeed Klein-Gordon systems in dimension three},
author = {Yu Deng},
journal= {arXiv preprint arXiv:1602.01820},
year = {2016}
}
Comments
43 pages