Blow-up for semilinear wave equation with boundary damping and source terms

DOI10.1016/J.JMAA.2012.01.037zbMath1234.35046OpenAlexW2013150943MaRDI QIDQ408284

Tae Gab Ha

Publication date: 29 March 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.01.037

zbMATH Keywords

boundary value problempositive initial energyblow-up of solution

Mathematics Subject Classification ID

Wave equation (35L05) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (12)

Blow-up for wave equation with weak boundary damping and source terms ⋮ General decay rate estimates for viscoelastic wave equation with Balakrishnan-Taylor damping ⋮ Blow-up for the wave equation with nonlinear source and boundary damping terms ⋮ General decay and blow up of solutions for a system of viscoelastic wave equations with nonlinear boundary source terms ⋮ Global existence and stability of a nonlinear wave equation with variable-exponent nonlinearities ⋮ Unnamed Item ⋮ Asymptotic stability of the semilinear wave equation with boundary damping and source term ⋮ Unnamed Item ⋮ Blow-up of solutions for wave equations with strong damping and variable-exponent nonlinearity ⋮ Global solutions and blow-up for the wave equation with variable coefficients. I: Interior supercritical source ⋮ Blow-up results for viscoelastic wave equations with weak damping ⋮ Blow-up for the wave equation with hyperbolic dynamical boundary conditions, interior and boundary nonlinear damping and sources

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