Boundary stabilization of wave equations with variable coefficients.

DOI10.1007/BF02878715zbMath1054.35021OpenAlexW1605228701MaRDI QIDQ1609647

De-Xing Feng, Shao-Ji Feng

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02878715

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35)

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Nonlinear boundary stabilization of the wave equations with variable coefficients and time dependent delay, Stabilization of wave equation with variable coefficients by nonlinear boundary feedback, Polynomial decay of a internal nonlinear damping structurally acoustic models with variable coefficients, Energy decay of a variable-coefficient wave equation with memory type acoustic boundary conditions, General decay rate estimates for viscoelastic wave equation with variable coefficients, Energy decay for wave equation of variable coefficients with dynamic boundary conditions and time-varying delay, Uniform decay rate for the transmission wave equations with variable coefficients, Energy decay of variable-coefficient wave equation with acoustic boundary conditions and delay, Stabilization of the wave equation with variable coefficients and a delay in dissipative boundary feedback, Stabilization of the wave equation with variable coefficients and a delay in dissipative internal feedback, Uniform decay of the solution to a wave equation with memory conditions on the boundary, Uniform stabilization of a variable coefficient wave equation with nonlinear damping and acoustic boundary

Cites Work

• Unnamed Item
• Energie decay estimates and exact boundary value controllability for the wave equation in a bounded domain
• Decay of solutions of wave equations in a bounded region with boundary dissipation
• A direct method for the boundary stabilization of the wave equation
• Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions
• Stability of wave equations with dissipative boundary conditions in a bounded domain
• On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients