## Abstract This paper is concerned with the standing wave in coupled non‐linear Klein–Gordon equations. By an intricate variational argument we establish the existence of standing wave with the ground state. Then we derive out the sharp criterion for blowing up and global existence by applying the
A wave operator for a non-linear Klein-Gordon equation
✍ Scribed by Jacques C. H. Simon
- Publisher
- Springer
- Year
- 1983
- Tongue
- English
- Weight
- 389 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0377-9017
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✦ Synopsis
We prove the existence of a set of initial data to which correspond solutions of the nonlinear Klein-Gordon eauation with a polynomial nonlinear term, which converge asymptotically, when t ~ +~, to solutions of the linear Klein-Gordon equation.
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