17 citations · 100 across the 21 of their papers we have counts for
6 papers · 1 filter
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…
Determining state space anomalies in mean field games
Hongyu Liu, Catharine W. K. Lo
In this paper, we are concerned with the inverse problem of determining anomalies in the state space associated with the stationary mean field game (MFG) system. We establish novel…
On the Obstacle Problem in Fractional Generalised Orlicz Spaces
Catharine W. K. Lo, José Francisco Rodrigues
We consider the one and the two obstacles problems for the nonlocal nonlinear anisotropic -Laplacian , with . We prove the strict T-monotonicity of $\mat…
Decoding a mean field game by the Cauchy data around its unknown stationary states
Hongyu Liu, Catharine W. K. Lo, Shen Zhang
In recent years, mean field games (MFGs) have garnered considerable attention and emerged as a dynamic and actively researched field across various domains, including economics, so…
On inverse problems in multi-population aggregation models
Yuhan Li, Hongyu Liu, Catharine W. K. Lo
This paper focuses on inverse problems arising in studying multi-population aggregations. The goal is to reconstruct the diffusion coefficient, advection coefficient, and interacti…
On the Stability of the -Nonlocal -Obstacle Problem and their Coincidence Sets and Free Boundaries
Catharine W. K. Lo, José Francisco Rodrigues
We show that the solutions to the nonlocal obstacle problems for the nonlocal operator, when the fractional parameter for , converge to the solution of t…