Uniform decay for wave equations with weakly dissipative boundary feedback

DOI10.1080/14689367.2014.1002455zbMath1316.35037OpenAlexW2088057237MaRDI QIDQ5253917

Muhammad I. Mustafa

Publication date: 5 June 2015

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2014.1002455

zbMATH Keywords

nonlinear boundary conditionweak dissipation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Asymptotic stability in control theory (93D20) Linear constitutive equations for materials with memory (74D05)

Related Items (5)

General and optimal decay for a viscoelastic equation with boundary feedback ⋮ Unnamed Item ⋮ Energy decay of dissipative plate equations with memory-type boundary conditions ⋮ Stability properties of dissipative evolution equations with nonautonomous and nonlinear damping ⋮ Viscoelastic plate equation with boundary feedback

Cites Work

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• Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
• Stabilization of wave and plate-like equations with nonlinear dissipation on the boundary
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• On the control of solutions of viscoelastic equations with boundary feedback
• Decay of solutions of the wave equation with a local nonlinear dissipation
• General decay rate estimates for viscoelastic dissipative systems
• Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms
• Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
• Uniform Stabilization of the Wave Equation by Nonlinear Boundary Feedback
• A new method to obtain decay rate estimates for dissipative systems
• Locally Distributed Control and Damping for the Conservative Systems
• Global uniform decay rates for the solutions to wave equation with nonlinear boundary conditions
• Local energy decay for the wave equation with a nonlinear time-dependent damping

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