Blow up of positive initial energy solutions for a wave equation with fractional boundary dissipation

DOI10.1016/j.aml.2011.04.030zbMath1221.35074OpenAlexW1974096188MaRDI QIDQ550479

Liqing Lu, Sheng-Jia Li

Publication date: 11 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.aml.2011.04.030

zbMATH Keywords

fractional derivativepositive initial energypolynomial source

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

Global existence, general decay and blow-up for a nonlinear wave equation with logarithmic source term and fractional boundary dissipation ⋮ Existence and nonexistence of solution of fractional Lamé wave equation with polynomial nonlinearity source terms ⋮ Exponential growth for wave equation with fractional boundary dissipation and boundary source term

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