3 papers
math.OC2026
Exact Controllability for Stochastic First-Order Multi-Dimensional Hyperbolic Systems
Zengyu Li, Qi Lü, Yu Wang +1
This paper investigates the exact controllability problem for multi-dimensional stochastic first-order symmetric hyperbolic systems with control inputs acting in two distinct ways:…
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.AP2023
Carleman Estimates for Second Order Elliptic Operators with Limiting Weights, an Elementary Approach
Zengyu Li, Qi Lü
By using some deep tools from microlocal analysis, the authors of the papers (Ann. of Math., 165 (2007), 567--591, J. Amer. Math. Soc., 23 (2010), 655--691; Invent. Math., 178 (200…