Blow-up results for viscoelastic wave equations with weak damping

DOI10.1016/j.aml.2018.01.002zbMath1394.35055OpenAlexW2784301374MaRDI QIDQ1748592

Mi Jin Lee, Jum-Ran Kang, Sun Hye Park

Publication date: 11 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.aml.2018.01.002

zbMATH Keywords

Dirichlet boundary conditionviscoelasticitypositive initial energynonpositive initial energy

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Linear constitutive equations for materials with memory (74D05) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)

Related Items

Global existence, energy decay and blow-up of solutions for wave equations with time delay and logarithmic source, General decay and blowup of solutions for a degenerate viscoelastic equation of Kirchhoff type with source term, General decay and blow-up for coupled Kirchhoff wave equations with dynamic boundary conditions, Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms, Blow up result for a viscoelatic plate equation with nonlinear source, Existence, nonexistence, and stability of solutions for a delayed plate equation with the logarithmic source, Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping, Asymptotic behavior for a viscoelastic Kirchhoff-type equation with delay and source terms, Dynamics of solutions to a semilinear plate equation with memory, Blow-up of solution for quasilinear viscoelastic wave equation with boundary nonlinear damping and source terms, Blow-up results for a quasilinear von Karman equation of memory type

Cites Work

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