Dynamic behaviors for the acoustic model with variable coefficients and nonautonomous damping

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) One-parameter semigroups and linear evolution equations (47D06) Abstract hyperbolic equations (35L90) Second-order semilinear hyperbolic equations (35L71)

Cites Work

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On the wave equation with semilinear porous acoustic boundary conditions
Uniform boundary stabilization of a wave equation with nonlinear acoustic boundary conditions and nonlinear boundary damping
Decay rate estimates for wave equations of memory type with acoustic boundary conditions
Asymptotics for some semilinear hyperbolic equations with non-autonomous damping
Nonautonomous semilinear second order evolution equations with generalized Wentzell boundary conditions
Uniform stabilization of the damped Cauchy--Ventcel problem with variable coefficients and dynamic boundary conditions
Energy decay for the elastic wave equation with a local time-dependent nonlinear damping
Semigroups of linear operators and applications to partial differential equations
Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
A solution to an open problem for wave equations with generalized Wentzell boundary conditions
Polynomial decay for the energy with an acoustic boundary condition
Some nonlinear wave equations with acoustic boundary conditions
On the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and supercritical sources
Boundary stabilization for wave equations with damping only on the nonlinear Wentzell boundary
Generalized Wentzell boundary conditions and quantum field theory
Decay of solutions of the wave equation with arbitrary localized nonlinear damping
On a system of Klein-Gordon type equations with acoustic boundary conditions
Dynamical behaviors of solutions to nonlinear wave equations with vanishing local damping and Wentzell boundary conditions
Well-posedness and stability for Kirchhoff equation with non-porous acoustic boundary conditions
Asymptotic behaviours of solutions for wave equations with damped Wentzell boundary conditions but no interior damping
Polynomial stability for wave equations with acoustic boundary conditions and boundary memory damping
Second order differential operators with Feller-Wentzell type boundary conditions
Derivation and physical interpretation of general boundary conditions
Existence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditions
Uniform stabilization of wave equation with localized damping and acoustic boundary condition
Wave equation with damping affecting only a subset of static Wentzell boundary is uniformly stable
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
Asymptotic Stability and Energy Decay Rates for Solutions of the Wave Equation with Memory in a Star-Shaped Domain
A New Method to Obtain Uniform Decay Rates for Multidimensional Wave Equations with Nonlinear Acoustic Boundary Conditions
On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients
Optimal energy decay rates for abstract second order evolution equations with non-autonomous damping
Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions
Abstract wave equations with acoustic boundary conditions
Wave equation with viscoelastic acoustic boundary conditions and supercritical source term
Regularity and stability of wave equations with variable coefficients and Wentzell type boundary conditions
Well‐posedness and exponential stability for a nonlinear wave equation with acoustic boundary conditions

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