Simple Non Linear Klein-Gordon Equations in 2 space dimensions, with long range scattering
Mathematical Physics
2015-06-26 v2 Analysis of PDEs
math.MP
Abstract
We establish that solutions, to the most simple NLKG equations in 2 space dimensions with mass resonance, exhibits long range scattering phenomena. Modified wave operators and solutions are constructed for these equations. We also show that the modified wave operators can be chosen such that they linearize the non-linear representation of the Poincar\'e group defined by the NLKG.
Cite
@article{arxiv.math-ph/0610081,
title = {Simple Non Linear Klein-Gordon Equations in 2 space dimensions, with long range scattering},
author = {Erik Taflin},
journal= {arXiv preprint arXiv:math-ph/0610081},
year = {2015}
}
Comments
19 pages, LaTeX, To appear in Lett. Math. Phys