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Global existence, blow up and asymptotic behaviour of solutions for nonlinear Klein–Gordon equation with dissipative term

✍ Scribed by Xu Runzhang

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
203 KB
Volume
33
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We study the Cauchy problem of nonlinear Klein–Gordon equation with dissipative term. By introducing a family of potential wells, we derive the invariant sets and prove the global existence, finite time blow up as well as the asymptotic behaviour of solutions. In particular, we show a sharp condition for global existence and finite time blow up of solutions. Copyright © 2009 John Wiley & Sons, Ltd.

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