A note on the boundary stabilization of a compactly coupled system of wave equations

DOI10.1016/S0893-9659(98)00165-7zbMath0938.35105MaRDI QIDQ1808516

Mohammed Aassila

Publication date: 25 November 1999

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

nonlinear boundary dissipationintegral inequalitiesmultiplier method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Higher-order hyperbolic systems (35L55)

Related Items (9)

Existence and uniform decay of solutions for a class of generalized plate-membrane-like systems ⋮ Existence and uniform decay rates of solutions to a degenerate system with memory conditions at the boundary. ⋮ Unnamed Item ⋮ On exact boundary controllability for linearly coupled wave equations ⋮ Strong asymptotic stability of a compactly coupled system of wave equations ⋮ Global existence and uniform decay for wave equation with dissipative term and boundary damping ⋮ Output feedback stabilisation of parallel coupled string equations with matched boundary disturbance ⋮ Global existence and uniform stabilization of a generalized dissipative Klein–Gordon equation type with boundary damping ⋮ Unnamed Item

Cites Work

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• Stabilization of wave and plate-like equations with nonlinear dissipation on the boundary
• 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
• Energy decay for the wave equation with a nonlinear weak dissipation
• Contrôlabilité exacte des solutions de l'équation des ondes en présence de singularités. (Exact controllability of solutions to the wave equation under presence of singularities)
• Uniform Stabilization of the Wave Equation by Nonlinear Boundary Feedback
• Exact Controllability, Stabilization and Perturbations for Distributed Systems

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