Optimal decay result for wave equations with frictional versus viscoelastic damping

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) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Second-order semilinear hyperbolic equations (35L71)

Cites Work

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Integro-differential equations of hyperbolic type with positive definite kernels
Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems
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A new method to obtain decay rate estimates for dissipative systems with localized damping
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Decay rates for dissipative wave equations
Decay of solutions of the wave equation with a local nonlinear dissipation
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Asymptotic stability in viscoelasticity
Optimal decay rates for the viscoelastic wave equation
Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
General decay rate estimate for a viscoelastic equation with weakly nonlinear time-dependent dissipation and source terms
General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping
Global Existence and Asymptotic Stability for a Semilinear Hyperbolic Volterra Equation with Large Initial Data
Asymptotic Decay for Some Differential Systems with Fading Memory
Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
Uniform decay rates for viscoelastic dissipative systems

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