293 citations · 1.1k across the 28 of their papers we have counts for
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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…
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…
Recovery of Multiple Parameters in Subdiffusion from One Lateral Boundary Measurement
Siyu Cen, Bangti Jin, Yikan Liu +1
This work is concerned with numerically recovering multiple parameters simultaneously in the subdiffusion model from one single lateral measurement on a part of the boundary, while…
The Galerkin Finite Element Method for A Multi-term Time-Fractional Diffusion equation
Bangti Jin, Raytcho Lazarov, Yikan Liu +1
We consider the initial/boundary value problem for a diffusion equation involving multiple time-fractional derivatives on a bounded convex polyhedral domain. We analyze a space sem…
On the multiple hyperbolic systems modeling phase transformation kinetics
Yikan Liu, Masahiro Yamamoto
We discuss Cahn's time cone method modeling phase transformation kinetics. The model equation by the time cone method is an integral equation in the space-time region. First we red…