3 papers
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…
math.AP2023
Stability Estimate for an Inverse Stochastic Parabolic Problem of Determining Unknown Time-varying Boundary
Zhonghua Liao, Qi Lü
Stochastic parabolic equations are widely used to model many random phenomena in natural sciences, such as the temperature distribution in a noisy medium, the dynamics of a chemica…
math.AP2021
Observability estimate for the wave equation with variable coefficients
Zhonghua Liao, Xiaoyu Fu
This paper is devoted to a study of observability estimate for the wave equation with variable coefficients (. We consider both the obser…