Polynomial stability for wave equations with acoustic boundary conditions and boundary memory damping

DOI10.1016/j.amc.2017.11.019zbMath1426.93271OpenAlexW2769008109MaRDI QIDQ2423080

Chan Li, Jin Liang, Ti-Jun Xiao

Publication date: 21 June 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.11.019

zbMATH Keywords

wave equationsacoustic boundary conditionspolynomial stabilitymemory damping

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Asymptotic stability in control theory (93D20) Wave equation (35L05)

Related Items

Asymptotic stability of the multidimensional wave equation coupled with classes of positive-real impedance boundary conditions ⋮ Exponential stabilization of wave equation with acoustic boundary conditions and its application to memory‐type boundary ⋮ Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions ⋮ Acoustic wave motions stabilized by boundary memory damping. II: Polynomial stability ⋮ The damped wave equation with acoustic boundary conditions and non-locally reacting surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Acoustic wave motions stabilized by boundary memory damping
• Decay rate estimates for wave equations of memory type with acoustic boundary conditions
• 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
• Oscillatory boundary conditions for acoustic wave equations
• Existence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditions
• Coupled second order evolution equations with fading memory: optimal energy decay rate
• Uniform stabilization of wave equation with localized damping and acoustic boundary condition
• The Multidimensional Wave Equation with Generalized Acoustic Boundary Conditions I: Strong Stability
• The Multidimensional Wave Equation with Generalized Acoustic Boundary Conditions II: Polynomial Stability
• Acoustic boundary conditions
• Abstract wave equations with acoustic boundary conditions