Scattering theory for the cubic nonlinear Klein-Gordon system

Junyong Zhang

doi:10.1002/mma.2728

Scattering theory for the cubic nonlinear Klein-Gordon system

Junyong Zhang^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	1825-1844
Number of pages	20
Journal	Mathematical Methods in the Applied Sciences
Volume	36
Issue number	14
DOIs	https://doi.org/10.1002/mma.2728
Publication status	Published - 30 Sept 2013

Keywords

Klein-Gordon system
inverse Hölder's inequality
scattering theory

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10.1002/mma.2728

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Zhang, J. (2013). Scattering theory for the cubic nonlinear Klein-Gordon system. Mathematical Methods in the Applied Sciences, 36(14), 1825-1844. https://doi.org/10.1002/mma.2728

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Scattering theory for the cubic nonlinear Klein-Gordon system

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Keywords

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