3 papers
math.AP2026
Unique Continuation Property for Stochastic Wave Equations
Qi Lü, Zhonghua Liao
This paper establishes a fundamental and surprising phenomenon in the theory of stochastic wave equations: the restoration of the unique continuation property (UCP) across characte…
math.OC2025
Exact Controllability for a Refined Stochastic Hyperbolic Equation with Internal Controls
Zengyu Li, Zhonghua Liao, Qi Lü
We establish the internal exact controllability of a refined stochastic hyperbolic equation by deriving a suitable observability inequality via Carleman estimates for the associate…
math.AP2024
On Inverse Problems for Mean Field Games with Common Noise via Carleman Estimate
Qi Lü, Zhonghua Liao
In this paper, we study two kinds of inverse problems for Mean Field Games (MFGs) with common noise. Our focus is on MFGs described by a coupled system of stochastic Hamilton-Jacob…