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math.AP2025★ 2 cited
Energy decay of nonlocal viscoelastic equations with nonlinear damping and polynomial nonlinearity
Qingqing Peng, Yikan Liu
This paper is concerned with the energy decay of a viscoelastic variable coefficient wave equation with nonlocality in time as well as nonlinear damping and polynomial nonlinear te…
math.AP2025
Exponential stability for an infinite memory wave equation with frictional damping and logarithmic nonlinear terms
Qingqing Peng, Yikan Liu
This article is concerned with the energy decay of an infinite memory wave equation with a logarithmic nonlinear term and a frictional damping term. The problem is formulated in a…
math.AP2025
Sharp decay estimates and numerical analysis for weakly coupled systems of two subdiffusion equations
Zhiyuan Li, Yikan Liu, Kazuma Wada
This paper investigates the initial-boundary value problem for weakly coupled systems of time-fractional subdiffusion equations with spatially and temporally varying coupling coeff…