2 citations · 3 across the 9 of their papers we have counts for
9 papers
Inverse Heat Source Problems from Boundary Flux and Interior Observations on Sets of Low Hausdorff Dimension
Ze Li, Zhiyuan Li, Zhi Zhou
This paper investigates conditional stability for inverse source problems for the heat equation with a known temporal factor and an unknown spatial component in a bounded …
Logarithmic stability for determining the damping coefficient for the time-fractional damped wave equation
Kai Yu, Zhiyuan Li
This paper investigates the inverse problem of determining the spatially dependent damping coefficient in a time-fractional damped wave equation, where the damping term is given by…
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…
Uniqueness for an inverse coefficient problem of a weakly coupled parabolic system
Caixuan Ren, Kai Yu, Zhiyuan Li
This paper considers the weakly coupled parabolic system with the homogeneous Neumann boundary condition, where \(P(x)\) is a \(2\times2\) sym…
A data-driven model reduction approach for backward fractional diffusion-wave equations
Dakang Cen, Zhiyuan Li, Wenlong Zhang
In this work, we propose an observation system based on the available data which solution is one-be-one mapping to the forward problem(with the unknown initial function) solution.…
Hölder Stable Recovery of the Source in Space-Time Fractional Wave Equations
Kuang Huang, Zhiyuan Li, Zhidong Zhang +1
We study the recovery of a spatially dependent source in a one-dimensional space-time fractional wave equation using boundary measurement data collected at a single endpoint. The m…
Numerical analysis of scattered point measurement-based regularization for backward problems for fractional wave equations
Dakang Cen, Zhiyuan Li, Wenlong Zhang
In this work, our aim is to reconstruct the unknown initial value from terminal data. We develop a numerical framework on nonuniform time grids for fractional wave equations under…
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…