Revised concavity method and application to Klein-Gordon equation

DOI10.2298/FIL1603831DzbMath1474.35482OpenAlexW2383768690MaRDI QIDQ5279356

Milena Dimova, Natalia T. Kolkovska, Nickolai Kutev

Publication date: 19 July 2017

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1603831d

zbMATH Keywords

concavity methodKlein-Gordon equationfinite time blow up

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Methods of ordinary differential equations applied to PDEs (35A24) Second-order semilinear hyperbolic equations (35L71)

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Nonexistence of global solutions of abstract wave equations with high energies ⋮ Nonexistence of global solutions to Klein-Gordon equations with variable coefficients power-type nonlinearities ⋮ Lifespan estimates and asymptotic stability for a class of fourth-order damped \(p\)-Laplacian wave equations with logarithmic nonlinearity ⋮ 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 ⋮ Unnamed Item

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