Global existence and exponential stability for a quasilinear wave equation with memory damping at the boundary

DOI10.1007/s10957-008-9399-xzbMath1160.49027OpenAlexW2007062564MaRDI QIDQ1014038

Qiong Zhang

Publication date: 24 April 2009

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-008-9399-x

zbMATH Keywords

exponential stabilityglobal existencequasilinear wave equationmemory boundary condition

Mathematics Subject Classification ID

Related Items (6)

Uniform stabilization of an axially moving Kirchhoff string by a boundary control of memory type ⋮ Polynomial decay rate of a variable coefficient wave equation with memory type acoustic boundary conditions ⋮ Asymptotic stability of stationary solutions for the Kirchhoff equation ⋮ New general decay results for a multi-dimensional Bresse system with viscoelastic boundary conditions ⋮ Memory‐type boundary stabilization of a transmission problem for Kirchhoff wave equations ⋮ On the control of the wave equation by memory-type boundary condition

Cites Work

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• Stabilization of an elastic plate with viscoelastic boundary conditions
• Global solvability of nonlinear wave equation with a viscoelastic boundary condition
• Global existence and stability for wave equation of Kirchhoff type with memory condition at the boundary
• Uniform decay of solution for wave equation of Kirchhoff type with nonlinear boundary damping and memory term
• Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.
• On nonlinear wave equations with degenerate damping and source terms
• Global solvability and uniform decays of solutions to quaslinear equation with nonlinear boundary dissipation
• Exponential decay of non-linear wave equation with a viscoelastic boundary condition

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