Global existence and exponential decay for a viscoelastic equation with not necessarily decreasing kernel

DOI10.1515/jaa-2021-2075zbMath1503.35030OpenAlexW4210306903WikidataQ115514406 ScholiaQ115514406MaRDI QIDQ2101143

Draifia Alaeddine

Publication date: 28 November 2022

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa-2021-2075

zbMATH Keywords

exponential decaygeneral decaynonlinear localized damping

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)

Cites Work

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• General decay for a viscoelastic problem with not necessarily decreasing kernel
• Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.
• Exponential or polynomial decay of solutions to a viscoelastic equation with nonlinear localized damping
• General decay rate estimates for viscoelastic dissipative systems
• Asymptotic behavior for a viscoelastic problem with not necessarily decreasing kernel
• Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
• General decay for Kirchhoff type in viscoelasticity with not necessarily decreasing kernel
• Blow-up of solutions for a system of nonlocal singular viscoelastic equations

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