General decay of solutions of a viscoelastic equation

Abstract In this paper we consider the following viscoelastic equation: u t t − Δ u + ∫ 0 t g ( t − τ ) Δ u ( τ ) d τ = 0 , in a bounded domain, and establish a general decay result which is not necessarily of exponential or polynomial type. This work generalizes and improves earlier results in the literature.

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