27 citations · 36 across the 5 of their papers we have counts for
5 papers
Inverse problems for infinite-dimensional transport PDEs on Wasserstein space
Hongyu Liu, Jianliang Qian, Shen Zhang
We develop a foundational framework for inverse problems governed by evolutionary partial differential equations (PDEs) on the Wasserstein space of probability measures. While the…
Inverse Problems for Mean Field Games
Hongyu Liu, Catharine W. K. Lo, Shen Zhang
In this book, we present a curated collection of existing results on inverse problems for Mean Field Games (MFGs), a cutting-edge and rapidly evolving field of research. Our aim is…
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…
Inverse boundary problem for a mean field game system with probability density constraint
Hongyu Liu, Shen Zhang
By following the study in [24], we consider an inverse boundary problem for the mean field game system where a probability density constraint is enforced on the game agents. That i…
Simultaneous recoveries for semilinear parabolic systems
Yi-Hsuan Lin, Hongyu Liu, Xu Liu +1
In this paper, we study inverse boundary problems associated with semilinear parabolic systems in several scenarios where both the nonlinearities and the initial data can be unknow…