EXPONENTIAL GROWTH OF SOLUTIONS FOR A VARIABLE-EXPONENT FOURTH-ORDER VISCOELASTIC EQUATION WITH NONLINEAR BOUNDARY FEEDBACK

DOI10.22190/FUMI210222035SOpenAlexW4298141570WikidataQ115496325 ScholiaQ115496325MaRDI QIDQ5041896

Mohammad Shahrouzi

Publication date: 18 October 2022

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22190/fumi210222035s

zbMATH Keywords

weak solutionvariable exponentsviscoelastic equation

Mathematics Subject Classification ID

Nonlinear constitutive equations for materials with memory (74D10) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44)

Related Items (3)

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

Cites Work

• A nonlinear viscoelastic plate equation with \(\vec{p} ( x , t )\)-Laplace operator: blow up of solutions with negative initial energy
• New general decay results for a viscoelastic plate equation with a logarithmic nonlinearity
• Anisotropic parabolic equations with variable nonlinearity
• Evolution PDEs with Nonstandard Growth Conditions
• Well-posedness and asymptotic stability results for a viscoelastic plate equation with a logarithmic nonlinearity
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