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math.AP2020
Energy decay rates of solutions to a viscoelastic wave equation with variable exponents and weak damping
Menglan Liao, Bin Guo, Xiangyu Zhu
The goal of the present paper is to study the asymptotic behavior of solutions for the viscoelastic wave equation with variable exponents \[ u_{tt}-Δu+\int_0^tg(t-s)Δu(s)ds+a|u_t|^…
math.AP2020
Classification of blow-up and global existence of solutions to an initial problem
Bin Guo, Jingjing Zhang, Menglan Liao
The aim of this paper is to apply the modified potential well method and some new differential inequalities to study the asymptotic behavior of solutions to the initial homogeneous…