Instability of the standing waves for nonlinear Klein-Gordon equations with damping term

DOI10.1016/j.amc.2009.03.046zbMath1177.35197OpenAlexW2029067739MaRDI QIDQ1029390

Jian Zhang, Wenyi Huang

Publication date: 10 July 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.03.046

zbMATH Keywords

instabilityKlein-Gordon equationsstanding wavesvariational argumentdamping terms

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Variational methods applied to PDEs (35A15)

Related Items

Global existence and blow-up of solutions for nonlinear Klein-Gordon equation with damping term and nonnegative potentials

Cites Work

• Saddle points and instability of nonlinear hyperbolic equations
• Identification problems for the damped Klein-Gordon equations.
• Standing waves for nonlinear Klein-Gordon equations with nonnegative potentials
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
• Some remarks on the wave equations with nonlinear damping and source terms
• Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
• Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.
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