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Global solutions and finite time blow up for damped Klein-Gordon equation

✍ Scribed by XU, Runzhang; DING, Yunhua


Book ID
121321263
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
319 KB
Volume
33
Category
Article
ISSN
0252-9602

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πŸ“œ SIMILAR VOLUMES


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✍ Wenjun Liu πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 387 KB

This paper studies the Cauchy problem for the coupled system of nonlinear Klein-Gordon equations with damping terms. We first state the existence of standing wave with ground state, based on which we prove a sharp criteria for global existence and blow-up of solutions when E(0) < d. We then introduc

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✍ Xu Runzhang πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 203 KB

## 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 s