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

DOI10.1007/S10440-011-9662-2zbMath1259.35134OpenAlexW2016501335MaRDI QIDQ1926065

Shun-Tang Wu

Publication date: 27 December 2012

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-011-9662-2

zbMATH Keywords

potential wellground state solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (6)

Energy decay and blow-up of solutions for a class of system of generalized nonlinear Klein-Gordon equations with source and damping terms ⋮ Qualitative behavior of solutions for a class of coupled nonlinear Klein-Gordon equations with strongly damping terms ⋮ Global existence and nonexistence of solutions for quasilinear parabolic equation ⋮ Global well-posedness of coupled parabolic systems ⋮ Global existence and non-existence analyses to a nonlinear Klein-Gordon system with damping terms under positive initial energy ⋮ Blow-up of solutions with high energies of a coupled system of hyperbolic equations

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