6 papers
Simultaneous recovery of multiple parameters in nonlocal diffusion equations from internal measurements
Kai Yu, Zhiyuan Li, Yikan Liu
This paper is devoted to simultaneously recovering multiple parameters from internal measurements for nonlocal diffusion equations. The uniqueness of the inverse problem is establi…
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…
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…
Threshold dynamics in time-delay systems: polynomial -control in a pressing process and connections to blow-up
Masato Kimura, Hirotaka Kuma, Yikan Liu +3
This paper addresses a press control problem in straightening machines with small time delays due to system communication. To handle this, we propose a generalized -control met…
Inverse source problem with a posteriori interior measurements for space-time fractional diffusion equations
Kai Yu, Zhiyuan Li, Yikan Liu
This paper investigates an inverse source problem for space-time fractional diffusion equations from a posteriori interior measurements. The uniqueness result is established by the…
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…