Simple Non-Linear Klein–Gordon Equations in Two Space Dimensions,with Long-Range Scattering |
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Authors: | Erik Taflin |
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Institution: | (1) EISTI, Ecole International des Sciences du Traitement de l’Information, Avenue du Parc, 95011 Cergy, France |
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Abstract: | We establish that solutions, to the most simple non-linear Klein–Gordon (NLKG) equations in two 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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Keywords: | 35L70 35Q75 35P25 74J20 |
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