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 language | English (US) |
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Pages (from-to) | 975-1008 |
Number of pages | 34 |
Journal | Journal of Hyperbolic Differential Equations |
Volume | 2 |
Issue number | 4 |
DOIs | |
State | Published - Dec 1 2005 |
ASJC Scopus subject areas
- Analysis
- General Mathematics