Sign-preserving functionals and blow-up to Klein–Gordon equation with arbitrary high energy

DOI10.1080/00036811.2015.1038994zbMath1338.35072OpenAlexW2100734944WikidataQ58264240 ScholiaQ58264240MaRDI QIDQ2805616

Milena Dimova, Natalia T. Kolkovska, Nickolai Kutev

Publication date: 12 May 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1038994

zbMATH Keywords

blow-uparbitrary high positive initial energycombined power-type nonlinearity

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

Nonexistence of global solutions of abstract wave equations with high energies ⋮ Global existence and blow up of the solution for nonlinear Klein-Gordon equation with general power-type nonlinearities at three initial energy levels ⋮ On nonexistence of global solutions of a quasilinear riser equation ⋮ 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 ⋮ Cauchy problem of nonlinear Klein-Gordon equations with general nonlinearities ⋮ Blow-up of solutions of coupled parabolic systems and hyperbolic equations ⋮ Blow-up of solutions for a nonlinear Petrovsky type equation with initial data at arbitrary high energy level

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