FROM THE KLEIN-GORDON-ZAKHAROV SYSTEM TO THE NONLINEAR SCHRÖDINGER EQUATION

Nader Masmoudi, Kenji Nakanishi

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we study the convergence of solutions in the limit from the Klein-Gordon-Zakharov system to the nonlinear Schrödinger 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.

Original languageEnglish (US)
Pages (from-to)975-1008
Number of pages34
JournalJournal of Hyperbolic Differential Equations
Volume2
Issue number4
DOIs
StatePublished - Dec 1 2005

ASJC Scopus subject areas

  • Analysis
  • General Mathematics

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