2 citations · 2 across the 14 of their papers we have counts for
11 papers · 1 filter
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…
Symmetrization of the Maxwell--Neumann--Poincar'e operator, spectral decomposition in traces, and boundary localisation of SPRs
Bochao Chen, Yixian Gao, Hongyu Liu
The Neumann--Poincaré (NP) operator, a fundamental operator in potential theory, has attracted renewed attention for its central role in the analysis of surface plasmon resonances…
Determining habitat anomalies in cross-diffusion predator-prey chemotaxis models
Yuhan Li, Hongyu Liu, Catharine W. K. Lo
This paper addresses an open inverse problem at the interface of mathematical analysis and spatial ecology: the unique identification of unknown spatial anomalies -- interpreted as…
Parameter Identification in Reaction-Diffusion-Chemotaxis Systems from Single Turing Pattern Amplitudes
Yuhan Li, Hongyu Liu, Catharine W. K. Lo
Turing patterns encode key information about biological mechanisms, yet traditional inverse problems rely on non-biological data like boundary measurements, neglecting the patterns…
Determining a parabolic-elliptic-elliptic system by boundary observation of its non-negative solutions under chemotaxis background
Yuhan Li, Hongyu Liu, Catharine W. K. Lo
This paper addresses a profoundly challenging inverse problem that has remained largely unexplored due to its mathematical complexity: the unique identification of all unknown coef…
Determining evolutionary equations from a single passive boundary observation
Lu Chen, Yan Jiang, Hongyu Liu +2
We study inverse boundary problems for evolutionary PDEs using only a single passive boundary observation, where data from an unknown internal source propagate through an unknown m…