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On the standing wave in coupled non-linear Klein–Gordon equations

✍ Scribed by Jian Zhang

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
122 KB
Volume
26
Category
Article
ISSN
0170-4214

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✦ Synopsis

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 potential well argument and the concavity method. We also show the instability of the standing wave. Copyright © 2003 John Wiley & Sons, Ltd.

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