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Scattering theory for the cubic nonlinear Klein–Gordon system
Author(s) -
Zhang Junyong
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2728
Subject(s) - klein–gordon equation , nonlinear system , mathematics , scalar (mathematics) , scattering , mathematical physics , argument (complex analysis) , mathematical analysis , theoretical physics , calculus (dental) , physics , quantum mechanics , geometry , medicine , biochemistry , chemistry , dentistry
In this paper, we consider the scattering theory of a nonlinear Klein–Gordon system, which describes the interaction of two scalar fields. The analysis in this paper is an adaptation of the technique used by Nakanishi, which is originally due to Bourgain. The new technical point appears in the localization argument of proving a concentration phenomenon. Copyright © 2013 John Wiley & Sons, Ltd.