Lower bounds for the blow-up time in a superlinear hyperbolic equation with linear damping term

DOI10.1016/J.CAMWA.2016.12.007zbMath1378.35043OpenAlexW2568559661MaRDI QIDQ2013449

Khadijeh Baghaei

Publication date: 18 August 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.12.007

zbMATH Keywords

homogeneous Dirichlet boundary conditions

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 (9)

Blow-up of positive-initial-energy solutions for nonlinearly damped semilinear wave equations ⋮ On decay and blow-up of solutions for a nonlinear Petrovsky system with conical degeneration ⋮ Bounds for blow-up time to a viscoelastic hyperbolic equation of Kirchhoff type with variable sources ⋮ Well‐posedness of solutions for a class of quasilinear wave equations with strong damping and logarithmic nonlinearity ⋮ Lower bounds for blow up time of the p-Laplacian equation with damping term ⋮ Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping ⋮ Bounds for the lifespan of solutions to fourth-order hyperbolic equations with initial data at arbitrary energy level ⋮ Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping ⋮ Existence and nonexistence of global solutions to the Cauchy problem of the nonlinear hyperbolic equation with damping term

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