𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Global Existence, Blow-up and Asymptotic Behavior of Solutions for a Class of Coupled Nonlinear Klein-Gordon Equations with Damping Terms

✍ 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

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Global existence, asymptotic behavior an
✍ 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

Global existence, blow up and asymptotic
✍ 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