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

Article ID Journal Published Year Pages File Type
842820 Nonlinear Analysis: Theory, Methods & Applications 2010 12 Pages PDF
Abstract

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)

Keywords
35L7035L15Damping termGlobal solutionsAsymptotic behaviorKlein?Gordon equationPotential wells
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
Global existence, asymptotic behavior and blow-up of solutions for coupled Klein–Gordon equations with damping terms
Authors
Wenjun Liu,
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Journal
Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
Related Categories
35L70
35L15
Damping term
Global solutions
Asymptotic behavior
Klein?Gordon equation
Potential wells
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