Exponential Decay of the Energy of a One-Dimensional Nonhomogeneous Medium

DOI10.1137/0329020zbMath0737.35131OpenAlexW2036001349MaRDI QIDQ3978025

Jong Uhn Kin

Publication date: 25 June 1992

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0329020

zbMATH Keywords

existenceuniquenessCauchy problemvibrationcomposite barexponential decay of the energy

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Initial-boundary value problems for second-order hyperbolic equations (35L20) Asymptotic stability in control theory (93D20) PDEs with low regular coefficients and/or low regular data (35R05)

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Exponential stability of an elastic string with local Kelvin-Voigt damping ⋮ Polynomial decay of an elastic/viscoelastic waves interaction system ⋮ On the spectrum determined growth assumption and the perturbation of \(C_0\) semigroups ⋮ Logarithmic stabilization of the Euler-Bernoulli transmission plate equation with locally distributed Kelvin-Voigt damping ⋮ On the Type of Certain C^o-Semigroups

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