3 papers
math.OC2026
Observability from measurable sets for strongly coupled parabolic systems via single-component observation
Xiaoyu Fu, Gengsheng Wang, Huaiqiang Yu +1
We establish an observability inequality from space-time measurable sets for a class of strongly coupled parabolic systems consisting of two equations, where the observation acts o…
math.AP2024
Carleman estimates for higher order partial differential operators and its applications
Xiaoyu Fu, Yuan Gao
In this paper, we obtain a Carleman estimate for the higher order partial differential operator. In the process of establishing this estimate, we developed a new method, which is c…
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…