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In this article, we consider a viscoelastic plate equation with past history,nonlinear damping, and logarithmic nonlinearity. We prove explicit and generaldecay rate results of the solution to the viscoelastic plate equation with pasthistory. Convex properties, logarithmic inequalities, and generalised Young'sinequality are mainly used to prove the decay estimate.

Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity