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math.AP2022
Global Carleman Estimate and State Observation Problem for Ginzburg-Landau Equation
Fangfang Dou, Zhonghua Liao, Xiaomin Zhu
In this paper, we prove a global Carleman estimate for the complex Ginzburg- Landau operator with a cubic nonlinear term in a bounded domain of Rn, n = 2, 3. As applications, we st…
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…
math.AP2017★ 1 cited
Strong Unique Continuation Property for Stochastic Parabolic Equations
Zhonghua Liao, Qi Lü
We establish a strong unique continuation property for stochastic parabolic equations. Our method is based on a suitable stochastic version of Carleman estimate. As far as we know,…