Global existence of small amplitude solutions to one-dimensional nonlinear Klein–Gordon systems with different masses

DOI10.1142/S0219891615500216zbMath1338.35297arXiv1406.3947MaRDI QIDQ2804486

Donghyun Kim

Publication date: 29 April 2016

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.3947

zbMATH Keywords

mass resonancecubic Klein-Gordon equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items (3)

A note on a system of cubic nonlinear Klein-Gordon equations in one space dimension ⋮ Periodic solutions to Klein-Gordon systems with linear couplings ⋮ A note on decay rates of solutions to a system of cubic nonlinear Schrödinger equations in one space dimension

Cites Work

• Unnamed Item
• Global small amplitude solutions for two-dimensional nonlinear Klein-Gordon systems in the presence of mass resonance
• Normal forms and global existence of solutions to a class of cubic nonlinear Klein-Gordon equations in one space dimension
• A note on the large time asymptotics for a system of Klein-Gordon equations
• Large time asymptotics of solutions to nonlinear Klein-Gordon systems
• A note on global existence of solutions to nonlinear Klein-Gordon equations in one space dimension
• Existence globale et comportement asymptotique pour l'équation de Klein–Gordon quasi linéaire à données petites en dimension 1

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