Nonlinear scattering for a system of one dimensional nonlinear Klein–Gordon equations

Nakao Hayashi, Pavel I. Naumkin

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a system of nonlinear Klein-Gordon equations in one space dimension with quadratic nonlinearities (∂2t − ∂2x + m2j)u>j = Nj(∂u), j = 1, …, l. We show the existence of solutions in an analytic function space. When the nonlinearity satisfies a strong null condition introduced by Georgiev we prove the global existence and obtain the large time asymptotic behavior of small solutions.

Original languageEnglish
Pages (from-to)647-667
Number of pages21
JournalHokkaido Mathematical Journal
Volume37
Issue number4
DOIs
Publication statusPublished - 2008

Keywords

  • One dimension
  • Scattering problem
  • Systems of Klein Gordon equations

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Nonlinear scattering for a system of one dimensional nonlinear Klein–Gordon equations'. Together they form a unique fingerprint.

Cite this