Local existence and blow up of solutions for a logarithmic nonlinear viscoelastic wave equation with delay

DOI10.22034/CMDE.2020.35546.1608zbMath1499.35121OpenAlexW3044538770MaRDI QIDQ5025477

Erhan Pişkin, Hazal Yüksekkaya

Publication date: 2 February 2022

Full work available at URL: https://cmde.tabrizu.ac.ir/article_10753_17541edaeca34daeb0b2eafaedcf445e.pdf

zbMATH Keywords

local existenceblow-updelay termlogarithmic nonlinearity

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Blow-up in context of PDEs (35B44)

Related Items (7)

Existence, decay, and blow-up of solutions for a higher-order Kirchhoff-type equation with delay term ⋮ A viscoelastic wave equation with delay and variable exponents: existence and nonexistence ⋮ Existence and decay for the logarithmic Lamé system with internal distributed delay ⋮ Existence and blow up time estimate for a nonlinear Cauchy problem with variable exponents: theory and numerics ⋮ Global nonexistence of solution for a nonlinear Klein-Gordon equation with strong damping, distributed delay and source terms ⋮ Blowing up for the \(p\)-Laplacian parabolic equation with logarithmic nonlinearity ⋮ Existence, nonexistence, and stability of solutions for a delayed plate equation with the logarithmic source

Cites Work

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• Existence and energy decay of solutions for the Euler-Bernoulli viscoelastic equation with a delay
• One-dimensional Klein–Gordon equation with logarithmic nonlinearities
• Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
• Local existence and blow up of solutions to a logarithmic nonlinear wave equation with delay

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