Exponential stabilization of wave equation with acoustic boundary conditions and its application to memory‐type boundary

DOI10.1002/MMA.8193zbMath1527.35069OpenAlexW4214810242MaRDI QIDQ6071008

Dandan Guo, Zhi-Fei Zhang

Publication date: 27 November 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8193

zbMATH Keywords

exponential stabilizationRiemannian geometry methodLyapunov approachmemory-type acoustic boundary

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Geometric methods (93B27)

Related Items (1)

General decay for semi-linear wave equations with memory term and logarithmic source

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Polynomial decay and blow up of solutions for variable coefficients viscoelastic wave equation with acoustic boundary conditions
• On a class of degenerate parabolic equations with dynamic boundary conditions
• Uniform boundary stabilization of a wave equation with nonlinear acoustic boundary conditions and nonlinear boundary damping
• Existence and general decay for nondissipative distributed systems with boundary frictional and memory dampings and acoustic boundary conditions
• Energy decay of a variable-coefficient wave equation with memory type acoustic boundary conditions
• Semigroups of linear operators and applications to partial differential equations
• Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions
• A global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditions
• Polynomial decay of a variable coefficient wave equation with an acoustic undamped boundary condition
• Energy decay rates for the semilinear wave equation with memory boundary condition and acoustic boundary conditions
• Polynomial stability for wave equations with acoustic boundary conditions and boundary memory damping
• General decay of solutions for a weak viscoelastic equation with acoustic boundary conditions
• Uniform stabilization of wave equation with localized damping and acoustic boundary condition
• Existence and general decay for nondissipative hyperbolic differential inclusions with acoustic/memory boundary conditions
• General decay of solutions of a wave equation with memory term and acoustic boundary condition
• Wave Equation with Acoustic/Memory Boundary Conditions
• Acoustic boundary conditions
• Blow‐up of solution of wave equation with internal and boundary source term and non‐porous viscoelastic acoustic boundary conditions
• Energy decay of variable‐coefficient wave equation with nonlinear acoustic boundary conditions and source term

This page was built for publication: Exponential stabilization of wave equation with acoustic boundary conditions and its application to memory‐type boundary