Normal form and global solutions for the Klein-Gordon-Zakharov equations

T. Ozawa, K. Tsutaya, Y. Tsutsumi

Research output: Contribution to journalArticlepeer-review

44 Citations (Scopus)


In this paper we study the global existence and asymptotic behavior of solutions for the Cauchy problem of the Klein-Gordon-Zakharov equations in three space dimensions. We prove that for small initial data, there exist the unique global solutions of the Klein-Gordon-Zakharov equations. We also show that these solutions approach asymptotically the free solutions as t → ∞. Our proof is based on the method of normal forms introduced by Shatah [12], which transforms the original system with quadratic nonlinearity into a new system with cubic nonlinearity.

Original languageEnglish
Pages (from-to)459-503
Number of pages45
JournalAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Issue number4
Publication statusPublished - 1995 Jul 1
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Applied Mathematics


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