Energy decay for the wave equation of variable coefficients with acoustic boundary conditions in domains with nonlocally reacting boundary

DOI10.1016/j.aml.2017.09.005zbMath1379.35172OpenAlexW2754111592MaRDI QIDQ1680039

Tae Gab Ha

Publication date: 22 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.aml.2017.09.005

zbMATH Keywords

general decay rateboundary reacting conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05)

Related Items (7)

Global solutions of wave equations with multiple nonlinear source terms under acoustic boundary conditions ⋮ Existence and asymptotic stability of solutions for a hyperbolic equation with logarithmic source ⋮ 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 ⋮ Unnamed Item ⋮ Alternating direction method for the wave equation with integral boundary conditions

Cites Work

• Unnamed Item
• General decay estimates for the wave equation with acoustic boundary conditions in domains with nonlocally reacting boundary
• On the wave equation with semilinear porous acoustic boundary conditions
• Wave equation in domains with non locally reacting boundary.
• Energy decay for a nonlinear wave equation of variable coefficients with acoustic boundary conditions and a time-varying delay in the boundary feedback
• Nonlinear wave equation with weak dissipative term in domains with non-locally reacting boundary
• On coupled Klein-Gordon-Schrödinger equations with acoustic boundary conditions
• Global existence and general decay estimates for the viscoelastic equation with acoustic boundary conditions
• On a system of Klein-Gordon type equations with acoustic boundary conditions
• Uniform energy decay of a variable coefficient wave equation with nonlinear acoustic boundary conditions
• On a mixed problem with a nonlinear acoustic boundary condition for a non-locally reacting boundaries
• Existence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditions
• 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

This page was built for publication: Energy decay for the wave equation of variable coefficients with acoustic boundary conditions in domains with nonlocally reacting boundary