scientific article; zbMATH DE number 6860683

zbMath1400.34048MaRDI QIDQ4636938

Milena Dimova, Nickolai Kutev, Natalia T. Kolkovska

Publication date: 17 April 2018

Full work available at URL: https://ejde.math.txstate.edu/Volumes/2018/68/abstr.html#latest

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zbMATH Keywords

concavity methodKlein-Gordon equationfinite time blow updouble dispersive equation

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Differential inequalities involving functions of a single real variable (34A40) Higher-order nonlinear hyperbolic equations (35L75) Blow-up in context of PDEs (35B44) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items (7)

Nonexistence of global solutions to Klein-Gordon equations with variable coefficients power-type nonlinearities ⋮ Global behavior of the solutions to nonlinear wave equations with combined power-type nonlinearities with variable coefficients ⋮ Blow-up in damped abstract nonlinear equations ⋮ Unnamed Item ⋮ A numerical scheme for the blow-up time of solutions of a system of nonlinear ordinary differential equations ⋮ 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

Cites Work

• The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
• Global solutions and finite time blow up for damped semilinear wave equations
• Thresholds for global existence and blow-up in a general class of doubly dispersive nonlocal wave equations
• Cauchy problem of generalized Boussinesq equation with combined power-type nonlinearities
• Global existence, blow up and asymptotic behaviour of solutions for nonlinear Klein-Gordon equation with dissipative term
• Revised concavity method and application to Klein-Gordon equation

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