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Analysis of the energy decay of a viscoelasticity type equation

Analysis of the energy decay of a viscoelasticity type equation

Abstract In this paper, we study the evolution of the energy density of a sequence of solutions of a problem related to a viscoelasticity model where the viscosity term is a pseudo-differential operator of order 2α with α ∈ (0, 1). We calculate the weak limit of the energy density …