Global existence and blow up of the solution for nonlinear Klein-Gordon equation with general power-type nonlinearities at three initial energy levels

DOI10.1016/J.APNUM.2018.05.018zbMath1430.35158OpenAlexW2805127398MaRDI QIDQ2000092

Tao Yu, Mingyou Zhang, Huichao Xu, Yanbing Yang, Md Salik Ahmed, Ligang Wang, Yong-bing Luo

Publication date: 27 June 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.05.018

zbMATH Keywords

Cauchy problemKlein-Gordon equationglobal existencefinite time blow up

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (3)

Nonexistence of global solutions to Klein-Gordon equations with variable coefficients power-type nonlinearities ⋮ Global behavior of the solutions to nonlinear Klein-Gordon equation with supercritical energy ⋮ Global behavior of the solutions to nonlinear Klein-Gordon equation with critical initial energy

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