Mathematics
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Item Energy decay for a viscoelastic wave equation with space-time potential in Rn(Elsevier Inc., 2022) Ogbiyele, P. A.; Arawomo, P. O.In this paper, we consider the following viscoelastic wave equation with space-time dependent potential and where the initial data u0(x), u1(x)have compact support. Under suitable assumptions on the relaxation function g and the potential b, we obtain a more general energy decay result using the perturbed energy method.