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math.OC2018★ 32 cited
Energy decay estimates of elastic transmission wave/beam systems with a local Kelvin-Voigt damping
Fathi Hassine
We consider a beam and a wave equations coupled on an elastic beam through transmission conditions. The damping which is locally distributed acts through one of the two equations o…
math.OC2018★ 9 cited
Remark on the pointwise stabilization of an elastic string equation
Fathi Hassine
We consider an initial and boundary value problem the one dimensional wave equation with damping concentrated at an interior point. We prove a result of a logarithmic decay of the…