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Stability results for viscoelastic wave equation with dynamic boundary conditions (1801.02988v1)
Published 7 Jan 2018 in math.AP
Abstract: In this paper we consider wave viscoelastic equation with dynamic boundary condition in a bounded domain, we establish a general decay result of energy by exploiting the frequency domain method which consists in combining a contradiction argument and a special analysis for the resolvent of the operator of interest with assumptions on past history relaxation function.