Blow up for a fourth order hyperbolic equation with the logarithmic nonlinearity

DOI10.1016/J.AML.2019.05.038zbMath1426.35169OpenAlexW2946959976WikidataQ127768782 ScholiaQ127768782MaRDI QIDQ2275156

Yihang Ma, Chein-Shan Liu

Publication date: 2 October 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2019.05.038

zbMATH Keywords

upper bound of the blow up time

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44) Higher-order semilinear hyperbolic equations (35L76)

Related Items (1)

Lower bound of blow-up time to a fourth order parabolic equation modeling epitaxial thin film growth

Cites Work

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• A lower bound for the blow-up time to a viscoelastic hyperbolic equation with nonlinear sources
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• Finite time blow-up and global solutions for fourth order damped wave equations
• Blow-up and decay for a class of pseudo-parabolic \(p\)-Laplacian equation with logarithmic nonlinearity
• Global solution and blow-up for a class of pseudo \(p\)-Laplacian evolution equations with logarithmic nonlinearity
• The initial-boundary value problems for a class of nonlinear wave equations with damping term
• Blow-up and extinction for a thin-film equation with initial-boundary value conditions

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