Nonexistence of global solutions to new ordinary differential inequality and applications to nonlineardispersive equations

DOI10.1002/mma.3639zbMath1338.35295OpenAlexW2400109962MaRDI QIDQ2814087

Milena Dimova, Natalia T. Kolkovska, Nickolai Kutev

Publication date: 17 June 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3639

zbMATH Keywords

Klein-Gordon equationgeneralized Boussinesq equationfinite time blow uparbitrary high positive energy

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Higher-order nonlinear hyperbolic equations (35L75) Blow-up in context of PDEs (35B44)

Related Items

Continuous dependence and convergence for a Kelvin-Voigt fluid of order one ⋮ Non-existence of global solutions to nonlinear wave equations with positive initial energy ⋮ Nonexistence of global solutions to Klein-Gordon equations with variable coefficients power-type nonlinearities ⋮ Blow up of solutions of systems of nonlinear equations of thermoelasticity ⋮ 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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