Exponential decay of the energy of the Euler-Bernoulli beam with locally distributed Kelvin-Voigt damping

Abstract. In this work we consider a transmission problem for the longitudinal displacement of a Euler-Bernoulli beam, where one small part of the beam is made of a viscoelastic material with Kelvin-Voigt constitutive relation. We use semigroup theory to prove existence and uniqueness of solutions. We apply a general results due to L. Gearhart ------------------ Reference