Uniform energy decay of a variable coefficient wave equation with nonlinear acoustic boundary conditions
From MaRDI portal
Publication:1931564
DOI10.1016/j.jmaa.2012.09.056zbMath1264.35050OpenAlexW2021464000MaRDI QIDQ1931564
Publication date: 14 January 2013
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.09.056
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items
Uniform stabilization of wave equation with localized damping and acoustic boundary condition ⋮ Polynomial decay of a internal nonlinear damping structurally acoustic models with variable coefficients ⋮ Energy decay for the wave equation of variable coefficients with acoustic boundary conditions in domains with nonlocally reacting boundary ⋮ Energy decay of a variable-coefficient wave equation with memory type acoustic boundary conditions ⋮ Wave equation with viscoelastic acoustic boundary conditions and supercritical source term ⋮ Well‐posedness and exponential stability for a nonlinear wave equation with acoustic boundary conditions ⋮ Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions ⋮ Existence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditions ⋮ On the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions ⋮ Energy decay for a nonlinear wave equation of variable coefficients with acoustic boundary conditions and a time-varying delay in the boundary feedback ⋮ 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 ⋮ Asymptotic stability of the viscoelastic equation with variable coefficients and the Balakrishnan-Taylor damping ⋮ On a nonlinear problem with Dirichlet and acoustic boundary conditions ⋮ Uniform stabilization of wave equation with localized internal damping and acoustic boundary condition with viscoelastic damping ⋮ Global existence and general decay estimates for the viscoelastic equation with acoustic boundary conditions ⋮ Polynomial decay of a variable coefficient wave equation with an acoustic undamped boundary condition ⋮ Well-posedness and stability for Kirchhoff equation with non-porous acoustic boundary conditions ⋮ Uniform stabilization of a variable coefficient wave equation with nonlinear damping and acoustic boundary ⋮ Polynomial decay and blow up of solutions for variable coefficients viscoelastic wave equation with acoustic boundary conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the wave equation with semilinear porous acoustic boundary conditions
- Strong stability and uniform decay of solutions to a wave equation with semilinear porous acoustic boundary conditions
- Well-posedness for a variable-coefficient wave equation with nonlinear damped acoustic boundary conditions
- Asymptotic stability of the wave equation on compact manifolds and locally distributed damping: A sharp result
- Uniform stabilization of the damped Cauchy--Ventcel problem with variable coefficients and dynamic boundary conditions
- Boundary stabilization of wave equations with variable coefficients and memory.
- Boundary controllability for the quasilinear wave equation
- Uniform decay of the solution to a wave equation with memory conditions on the boundary
- Wave equation with porous nonlinear acoustic boundary conditions generates a well-posed dynamical system
- On exponential stability of a semilinear wave equation with variable coefficients under the nonlinear boundary feedback
- Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions
- Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
- Inverse/observability estimates for second-order hyperbolic equations with variable coefficients
- Boundary stabilization of a 3-dimensional structural acoustic model
- Carleman estimates with no lower-order terms for general Riemann wave equations. Global uniqueness and observability in one shot
- Polynomial decay for the energy with an acoustic boundary condition
- Some nonlinear wave equations with acoustic boundary conditions
- Global smooth solutions for the quasilinear wave equation with boundary dissipation
- Stabilization of wave equation with variable coefficients by nonlinear boundary feedback
- Nonlinear internal damping of wave equations with variable coefficients
- Wave equation with damping affecting only a subset of static Wentzell boundary is uniformly stable
- Asymptotic stability of the wave equation on compact surfaces and locally distributed damping-A sharp result
- Well-posedness and uniform decay rates for the Klein–Gordon equation with damping term and acoustic boundary conditions
- Acoustic boundary conditions
- On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients
- Global Smooth Solutions of the Quasi-Linear Wave Equation with Internal Velocity Feedback
- Uniform Stabilization for a Hyperbolic Equation with Acoustic Boundary Conditions in Simple Connected Domains
- Abstract wave equations with acoustic boundary conditions