Abstract
We prove existence and uniqueness of solutions to the Klein-Gordon-Zakharov system in the energy space H 1×L 2 on some time interval which is uniform with respect to two large parameters c and α. These two parameters correspond to the plasma frequency and the sound speed. In the simultaneous high-frequency and subsonic limit, we recover the nonlinear Schrödinger system at the limit. We are also able to say more when we take the limits separately.
Original language | English (US) |
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Pages (from-to) | 535-583 |
Number of pages | 49 |
Journal | Inventiones Mathematicae |
Volume | 172 |
Issue number | 3 |
DOIs | |
State | Published - Jun 2008 |
ASJC Scopus subject areas
- General Mathematics