On the viscoelastic equation with Balakrishnan-Taylor damping and nonlinear boundary/interior sources with variable-exponent nonlinearities

DOI10.24193/SUBBMATH.2020.4.09OpenAlexW3106670404MaRDI QIDQ5101219

Benyattou Benabderrahmane, Abita Rahmoune

Publication date: 29 August 2022

Published in: Studia Universitatis Babes-Bolyai Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.24193/subbmath.2020.4.09

zbMATH Keywords

global existencerelaxation functiongeneral decayBalakrishnan-Taylor dampingviscoelastic equationLebesgue and Sobolev spaces with variable exponents

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Wave equation (35L05) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20)

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Global existence, asymptotic stability and blow up of solutions for a nonlinear viscoelastic plate equation involving \((p(x), q(x))\)-Laplacian operator ⋮ On the behavior of solutions for a class of nonlinear viscoelastic fourth-order \(p(x)\)-Laplacian equation ⋮ Blow-up results for a Boussinesq-type plate equation with a logarithmic damping term and variable-exponent nonlinearities ⋮ Unnamed Item

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