Stabilization of the weakly coupled plate-wave systems with local viscoelastic damping
The stabilization of the weakly coupled plate-wave systems with local viscoelastic damping is studied.Under appropriate assumptions,the well-posedness of the system in Hilbert space is obtained by using the Lumer-Phillips theorem of linear operator semigroups.Furthermore,with the help of the frequency domain characteristics of uniformly exponential stability of linear operator semigroups,the uniformly exponential stability of weakly coupled plate-wave systems is proved by using the piecewise multiplier method combined with the contradiction discussion.
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