This work deals with the following viscoelastic heat equations with logarithmic nonlinearity u t − Δ u + ∫ 0 t g ( t − s ) Δ u ( s ) d s = | u | p − 2 u ln | u | . In this paper, we show the effects of the viscoelastic term and the logarithmic nonlinearity to the asymptotic behavior of weak solutions. Our results extend the results of Peng and Zhou [Appl. Anal. 100(2021), 2804–2824] and Messaoudi [Nonlinear Differ. Equ. Appl. 64(2005), 351–356].
