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Existence, non-existence and asymptotic behavior of global solutions to the Cauchy problem for systems of semilinear hyperbolic equations with damping terms

✍ Scribed by Akbar B. Aliev; Anar A. Kazimov


Book ID
113811426
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
273 KB
Volume
75
Category
Article
ISSN
0362-546X

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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