From the Klein-Gordon-Zakharov system to the nonlinear Schrodinger equation

被引：68

作者：

Masmoudi, N ^{[1
]}

Nakanishi, K

机构：

[1] NYU, Courant Inst, New York, NY 10012 USA

[2] Kyoto Univ, Dept Math, Kyoto 6068502, Japan

来源：

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2005年 / 2卷 / 04期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1142/S0219891605000683

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the convergence of solutions in the limit from the Klein-Gordon-Zakharov system to the nonlinear Schrodinger equation. The major difficulties are resonant bilinear interactions whose frequency are going to infinity, and the diverging total energy. We overcome them by combining bilinear estimates for non-resonant interactions and a modified nonlinear energy at the resonant frequency.

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页码：975 / 1008

页数：34

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