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math.OC2025
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…
math.AP2025
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…