Boundary stabilization of a semilinear wave equation with variable coefficients under the time-varying and nonlinear feedback

DOI10.1155/2014/728760zbMath1474.93182OpenAlexW2048340060WikidataQ59040987 ScholiaQ59040987MaRDI QIDQ1724835

Xiaopeng Zhao, Bei Gong

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/728760

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Initial-boundary value problems for second-order hyperbolic equations (35L20)

Related Items (2)

Energy decay for wave equation of variable coefficients with dynamic boundary conditions and time-varying delay ⋮ Boundary stabilization of the wave equation with time-varying and nonlinear feedback

Cites Work

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• Energy decay and exact controllability for the Petrovsky equation in a bounded domain
• Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
• Stabilization of the wave equation with variable coefficients and a delay in dissipative boundary feedback
• Boundary controllability for the quasilinear wave equation
• On exponential stability of a semilinear wave equation with variable coefficients under the nonlinear boundary feedback
• A direct method for the boundary stabilization of the wave equation
• Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
• On the nonlinear boundary stabilization of the wave equation
• Wave equation on a bounded domain with boundary dissipation: An operator approach
• Nonlinear boundary stabilization of the wave equations with variable coefficients and time dependent delay
• Decay of solutions of the wave equation with arbitrary localized nonlinear damping
• Existence and uniform decay of the wave equation with nonlinear boundary damping and boundary memory source term
• Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term
• Stabilization of the wave equation with boundary time-varying delay
• Stabilization of the wave equation with variable coefficients and a delay in dissipative internal feedback
• On the \(C_{0}\)-semigroup generation and exponential stability resulting from a shear force feedback on a rotating beam
• Exponential Stability of an Abstract Nondissipative Linear System
• Global existence and energy decay of solutions for the wave equation with a time varying delay term in the weakly nonlinear internal feedbacks
• Uniform Stabilization of the Wave Equation by Nonlinear Boundary Feedback
• Note on Boundary Stabilization of Wave Equations
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients

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