Existence of Solutions for the Kirchhoff-Type Wave Equation with Memory Term and Acoustic Boundary Conditions

DOI10.1080/01630563.2010.498301zbMath1203.35175OpenAlexW2133771090MaRDI QIDQ3058363

Tae Gab Ha, Jong Yeoul Park

Publication date: 19 November 2010

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.498301

zbMATH Keywords

mixed boundary conditionsGalerkin approximation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)

Related Items (10)

Global solutions of wave equations with multiple nonlinear source terms under acoustic boundary conditions ⋮ Energy decay rates for solutions of the Kirchhoff type wave equation with boundary damping and source terms ⋮ General decay estimates for the wave equation with acoustic boundary conditions in domains with nonlocally reacting boundary ⋮ General decay rate estimates for viscoelastic wave equation with Balakrishnan-Taylor damping ⋮ On coupled Klein-Gordon-Schrödinger equations with acoustic boundary conditions ⋮ Energy decay for the wave equation of variable coefficients with acoustic boundary conditions in domains with nonlocally reacting boundary ⋮ Well‐posedness and exponential stability for a nonlinear wave equation with acoustic boundary conditions ⋮ On the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions ⋮ Global existence and general decay estimates for the viscoelastic equation with acoustic boundary conditions ⋮ Well-posedness and stability for Kirchhoff equation with non-porous acoustic boundary conditions

Cites Work

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• Polynomial decay for the energy with an acoustic boundary condition
• Some nonlinear wave equations with acoustic boundary conditions
• On a system of Klein-Gordon type equations with acoustic boundary conditions
• Some Nonlinear Wave Equations with Nonlinear Memory Source Term and Acoustic Boundary Conditions
• Well-posedness and uniform decay rates for the Klein–Gordon equation with damping term and acoustic boundary conditions
• Acoustic boundary conditions
• Uniform Stabilization for a Hyperbolic Equation with Acoustic Boundary Conditions in Simple Connected Domains
• Abstract wave equations with acoustic boundary conditions

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