A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation
Analysis of PDEs
2009-11-11 v1
Abstract
We give a short proof of asymptotic completeness and global existence for the cubic Nonlinear Klein-Gordon equation in one dimension. Our approach to dealing with the long range behavior of the asymptotic solution is by reducing it, in hyperbolic coordinates to the study of an ODE. Similar arguments extend to higher dimensions and other long range type nonlinear problems.
Cite
@article{arxiv.math/0510643,
title = {A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation},
author = {Hans Lindblad and Avy Soffer},
journal= {arXiv preprint arXiv:math/0510643},
year = {2009}
}
Comments
To appear in Lett. Math. Phys