Scattering operator for nonlinear klein-Gordon equations

Nakao Hayashi, Pavel I. Naumkin

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We prove the existence of the scattering operator in H1+n/2,1 in the neighborhood of the origin for the nonlinear KleinGordon equation with a power nonlinearity utt-Δu+u=μ|u|p-1u, (t,x) ∈ R × Rn, where p > 1+2/n, μ ∈ C, n=1,2.

Original languageEnglish
Pages (from-to)771-781
Number of pages11
JournalCommunications in Contemporary Mathematics
Volume11
Issue number5
DOIs
Publication statusPublished - 2009 Oct 1
Externally publishedYes

Keywords

  • Asymptotics of solutions
  • Nonlinear Klein-Gordon equation
  • Scattering operator

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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