Simple Non Linear Klein-Gordon Equations in 2 space dimensions, with long range scattering

Details Simple Non Linear Klein-Gordon Equations in 2 space dimensions, with long range scattering Simple Non Linear Klein-Gordon Equations in 2 space dimensions, with long range scattering

2006-10-27

arxiv.org/abs/math-ph/0610081v2

Physics

Mathematical Physics

19 pages, LaTeX, To appear in Lett. Math. Phys

Scientific paper

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.

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