Scattering theory for the cubic nonlinear Klein-Gordon system

Junyong Zhang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)1825-1844
Number of pages20
JournalMathematical Methods in the Applied Sciences
Volume36
Issue number14
DOIs
Publication statusPublished - 30 Sept 2013

Keywords

  • Klein-Gordon system
  • inverse Hölder's inequality
  • scattering theory

Fingerprint

Dive into the research topics of 'Scattering theory for the cubic nonlinear Klein-Gordon system'. Together they form a unique fingerprint.

Cite this