4 citations · 9 across the 22 of their papers we have counts for
22 papers
Application of the Shape Design Method to Hidden Regularity of Degenerate Hyperbolic Equations with Degenerate Boundary
Dong-Hui Yang, Hongli Sun
This paper investigates the well-posedness and hidden regularity of boundary-degenerate hyperbolic equations in a two-dimensional setting. The shape design method is employed, whic…
Shape-Design Approximation for a Class of Degenerate Hyperbolic Equations with a Degenerate Boundary Point and Its Application to Observability
Dong-Hui Yang, Jie Zhong
We study a class of degenerate hyperbolic equations in a bounded domain whose degeneracy occurs at a boundary point. We first develop the weighted functional framework, prove well-…
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…