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math.OC2026
Null Controllability of a Stochastic Parabolic Equation with a Space-Dependent Analytic Noise Coefficient
Qi Lü, Yu Wang
We consider a stochastic parabolic equation on the -dimensional flat torus , , whose only control acts in the drift. Th…
math.OC2026
A Geometric Inverse Source Problem for Stochastic Parabolic Equations
Yunzhang Li, Qi Lü, Meizhi Qian +1
This paper addresses the geometric inverse problem of simultaneously recovering two unknown deterministic source supports in a stochastic parabolic equation, where one source appea…
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:…