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Optimal energy decay rate in a damped Rayleigh beam

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  • We consider a clamped Rayleigh beam subject to a positive viscous damping. Using an explicit approximation, we first give the asymptotic expansion of eigenvalues and eigenfunctions of the underlying system. We next identify the optimal energy decay rate of the system with the supremum of the real part of the spectrum of the infinitesimal generator of the associated semigroup.
    Mathematics Subject Classification: Primary: 35C20, 35P20, 35P10, 93D15.


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