General energy decay rates for a weakly damped wave equation

zbMath1195.35057MaRDI QIDQ986019

Muhammad I. Mustafa, Messaoudi A. Salim

Publication date: 10 August 2010

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1275586733

zbMATH Keywords

wave equationconvexitygeneral decayweak frictional damping

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Linear constitutive equations for materials with memory (74D05) Higher-order hyperbolic systems (35L55)

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Cites Work

• Unnamed Item
• Unnamed Item
• Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems
• 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
• Regularity of higher energies of wave equation with nonlinear localized damping and a nonlinear source
• On the control of solutions of viscoelastic equations with boundary feedback
• A direct method for the boundary stabilization of the wave equation
• Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
• A new method to obtain decay rate estimates for dissipative systems with localized damping
• Decay rates for dissipative wave equations
• 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

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