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 , which transforms the original system with quadratic nonlinearity into a new system with cubic nonlinearity.
|ジャーナル||Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire|
|出版物ステータス||Published - 2016 7 1|
ASJC Scopus subject areas
- Mathematical Physics