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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.AP2017★ 1 cited
Unique Continuation for Stochastic Hyperbolic Equations
Qi Lu, Zhongqi Yin
In this paper, we derive a local unique continuation property for stochastic hyperbolic equations without boundary conditions. This result is proved by a global Carleman estimate.
math.AP2013
Unique Continuation for Stochastic Heat Equations
Qi Lu, Zhongqi Yin
We establish a unique continuation property for stochastic heat equations evolving in a bounded domain . Our result shows that the value of the solution can be determined unique…