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arXiv · math-ph/0610081

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

Erik Taflin
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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 Poincaré group defined by the NLKG.

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Erik Taflin. 2007-01-30. Simple Non Linear Klein-Gordon Equations in 2 space dimensions, with long range scattering. https://doi.org/10.1007/s11005-006-0128-9

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