General decay estimates for the wave equation with acoustic boundary conditions in domains with nonlocally reacting boundary

DOI10.1016/j.aml.2016.04.006zbMath1339.35041OpenAlexW2338950124MaRDI QIDQ289251

Tae Gab Ha

Publication date: 30 May 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.04.006

zbMATH Keywords

mixed boundary conditionsacoustic boundary conditionsgeneral decay ratenonlocally reacting boundary

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order semilinear hyperbolic equations (35L71)

Related Items (9)

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 ⋮ Nonlinear wave equation with Dirichlet and acoustic boundary conditions: theoretical analysis and numerical simulation ⋮ Energy decay for the wave equation of variable coefficients with acoustic boundary conditions in domains with nonlocally reacting boundary ⋮ On the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions ⋮ Global solutions and blow-up for the wave equation with variable coefficients. I: Interior supercritical source ⋮ Energy decay rate for the wave equation with variable coefficients and boundary source term ⋮ Global existence and general decay estimates for the viscoelastic equation with acoustic boundary conditions ⋮ Unnamed Item

Cites Work

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• Wave equation in domains with non locally reacting boundary.
• Nonlinear wave equation with weak dissipative term in domains with non-locally reacting boundary
• On coupled Klein-Gordon-Schrödinger equations with acoustic boundary conditions
• On a system of Klein-Gordon type equations with acoustic boundary conditions
• On a mixed problem with a nonlinear acoustic boundary condition for a non-locally reacting boundaries
• Existence of Solutions for the Kirchhoff-Type Wave Equation with Memory Term and Acoustic Boundary Conditions
• Well-posedness and uniform decay rates for the Klein–Gordon equation with damping term and acoustic boundary conditions
• A new method to obtain decay rate estimates for dissipative systems

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