Asymptotic decomposition for nonlinear damped Klein-Gordon equations
Analysis of PDEs
2015-12-10 v3
Abstract
In this paper, we proved that if the solution to damped focusing Klein-Gordon equations is global forward in time, then it will decouple into a finite number of equilibrium points with different shifts from the origin. The core ingredient of our proof is the existence of the "concentration-compact attractor" which yields a finite number of profiles. Using damping effect, we can prove all the profiles are equilibrium points.
Cite
@article{arxiv.1511.00437,
title = {Asymptotic decomposition for nonlinear damped Klein-Gordon equations},
author = {Ze Li and Lifeng Zhao},
journal= {arXiv preprint arXiv:1511.00437},
year = {2015}
}
Comments
22pages, we correct some errors