2 papers
math.AP2026
The Sommerfeld-Rellich Framework for Scattering on Hyperbolic Space: Far-Field Patterns and Inverse Problems
Lu Chen, Hongyu Liu
This paper establishes a complete time-harmonic scattering theory for hyperbolic space, formulating it within the classical Sommerfeld-Rellich paradigm centered on far-field patter…
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…