Polynomial stability of solutions for a system of non-linear viscoelastic equations

DOI10.1080/00036810903114825zbMath1180.35116OpenAlexW2083795721MaRDI QIDQ3182505

Shengqi Yu

Publication date: 9 October 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810903114825

zbMATH Keywords

memory termflat zoneuniform stabilization

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)

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Cites Work

• Exponential energy decay of solutions of viscoelastic wave equations
• General decay of the solution energy in a viscoelastic equation with a nonlinear source
• Global solutions to the equation of viscoelasticity with fading memory
• Decay rates for viscoelastic plates with memory
• Existence and decay of solutions of a viscoelastic equation with a nonlinear source
• Asymptotic Decay for Some Differential Systems with Fading Memory
• Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
• Blow up and global existence in a nonlinear viscoelastic wave equation
• Asymptotic Stability and Energy Decay Rates for Solutions of the Wave Equation with Memory in a Star-Shaped Domain
• Global existence and uniform stability of solutions for a quasilinear viscoelastic problem
• Uniform stabilization of solutions of a nonlinear system of viscoelastic equations

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