4 citations · 9 across the 22 of their papers we have counts for
6 papers · 2 filters
Observability inequalities for the backward stochastic evolution equations and their applications
Yuanhang Liu, Weijia Wu, Donghui Yang +1
The present article delves into the investigation of observability inequalities pertaining to backward stochastic evolution equations. We employ a combination of spectral inequalit…
Null controllability of two kinds of coupled parabolic systems with switching control
Yuanhang Liu, Weijia Wu, Donghui Yang
The focus of this paper is on the null controllability of two kinds of coupled systems including both degenerate and non-degenerate equations with switching control. We first estab…
Optimal Actuator Location of the Norm Optimal Controls for Degenerate Parabolic Equations
Yuanhang Liu, Weijia Wu, Donghui Yang
This paper focuses on investigating the optimal actuator location for achieving minimum norm controls in the context of approximate controllability for degenerate parabolic equatio…
Norm and time optimal control problems of stochastic heat equations
Yuanhang Liu, Donghui Yang, Jie Zhong
This paper investigates the norm and time optimal control problems for stochastic heat equations. We begin by presenting a characterization of the norm optimal control, followed by…
Carleman estimates for degenerate parabolic equations with single interior point degeneracy and its applications
Yuanhang Liu, Yaozhong Hu, Weijia Wu +1
We study the controllability of a class of -dimensional degenerate parabolic equations with single interior point degeneracy. We employ the Galerkin method to prove the existenc…
Observability Inequality from Measurable Sets and the Stackelberg-Nash Game Problem for Degenerate Parabolic Equations
Yuanhang Liu, Weijia Wu, Donghui Yang +1
In this study, we employ the established Carleman estimates and propagation estimates of smallness from measurable sets for real analytic functions, along with the telescoping seri…