Global solution for coupled nonlinear Klein-Gordon system

DOI10.1007/s10483-007-0512-yzbMath1231.35116OpenAlexW2050357488MaRDI QIDQ940299

Zai-Hui Gan, Jian Zhang

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-0512-y

zbMATH Keywords

global solutionblowupsharp thresholdcross-constrained variational problemcouple nonlinear Klein-Gordon system

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Second-order nonlinear hyperbolic equations (35L70) Higher-order hyperbolic systems (35L55) Initial value problems for second-order hyperbolic equations (35L15)

Related Items

Blow-up of solutions with high energies of a coupled system of hyperbolic equations ⋮ Growth of solutions for a coupled nonlinear Klein-Gordon system with strong damping, source, and distributed delay terms

Cites Work

• Unnamed Item
• Unnamed Item
• Global solution of the system of wave and Klein-Gordon equations
• Normal form and global solutions for the Klein-Gordon-Zakharov equations
• Non-linear semi-groups
• Decay estimates for the three-dimensional inhomogeneous klein-gordon equation and applications
• Normal forms and quadratic nonlinear Klein-Gordon equations
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Decay estimates for the Klein ndesh Gordon equation
• On the standing wave in coupled non-linear Klein-Gordon equations
• Global existence and nonexistence of the solution of a forced nonlinear Schrödinger equation