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Existence and asymptotic behavior of global smooth solution for -System with damping and boundary effect

✍ Scribed by Yinghui Zhang; Zhong Tan

Book ID
108216486
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
821 KB
Volume
72
Category
Article
ISSN
0362-546X

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Global existence, asymptotic behavior an
Global existence, asymptotic behavior and blow-up of solutions for coupled Klein–Gordon equations with damping terms
✍ 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