Showing math.APShow all
3 papers · 1 filter
math.AP2026
Identifying unknown time delay and spatially varying coefficients in a reaction-diffusion equation from boundary measurements
Ming-Hui Ding, Hongyu Liu, Catharine W. K. Lo
This work investigates an inverse problem for a general class of linear reaction-diffusion systems incorporating multiple delayed contributions, namely retarded diffusion, retarded…
math.AP2024
Inverse problems for coupled nonlocal nonlinear systems arising in mathematical biology
Ming-Hui Ding, Hongyu Liu, Catharine W. K. Lo
In this paper, we propose and study several inverse problems of determining unknown parameters in nonlocal nonlinear coupled PDE systems, including the potentials, nonlinear intera…
math.AP2023
Determining Sources in the Bioluminescence Tomography Problem
Ming-Hui Ding, Rongfang Gong, Hongyu Liu +1
In this paper, we revisit the bioluminescence tomography (BLT) problem, where one seeks to reconstruct bioluminescence signals (an internal light source) from external measurements…