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
β¦ LIBER β¦
Global Existence, Blow-up and Asymptotic Behavior of Solutions for a Class of Coupled Nonlinear Klein-Gordon Equations with Damping Terms
β Scribed by Shun-Tang Wu
- Book ID
- 113060202
- Publisher
- Springer Netherlands
- Year
- 2011
- Tongue
- English
- Weight
- 656 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0167-8019
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## Abstract We study the Cauchy problem of nonlinear KleinβGordon 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
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