4 citations · 5 across the 12 of their papers we have counts for
12 papers
Null Controllability for a Multi-Dimensional Degenerate Parabolic Equation with Degenerated Interior Point
Dong-Hui Yang, Bao-Zhu Guo, Jie Zhong
In this study, we study the null controllability of a multi-dimensional degenerate parabolic equation characterized by a degenerate interior point. The control domain, which is an…
Quantitative Weak Unique Continuation on Annular Domains for Backward Degenerate Parabolic Equations with Degenerate Interior Points
Dong-Hui Yang, Bao-Zhu Guo, Guojie Zheng +1
In this paper, we establish a quantitative weak unique continuation theorem on an annular domain for a backward degenerate parabolic equation with a degenerate interior point. Our…
A Shape Design Approximation for Degenerate Partial Differential Equations and Its Application
Bao-Zhu Guo, Dong-Hui Yang, Jie Zhong
In this paper, we focus on two types of degenerate partial differential equations: a degenerate elliptic equation and a degenerate parabolic equation. Significantly, both categorie…
Hidden Boundary Trace Regularity and an Observability Estimate with Interior Remainder for Boundary-Degenerate Hyperbolic Equations
Dong-Hui Yang, Jie Zhong
We study hidden boundary trace regularity for two-dimensional hyperbolic equations with boundary degeneracy governed by $\mcA\vp=-\Div(A\nabla \vp)$, where $A=\diag(1,r^\al)$ and $…
A Class of Degenerate Hyperbolic Equations with Neumann Boundary Conditions and Its Application to Observability
Dong-Hui Yang, Jie Zhong
We establish a mixed observability inequality for a class of degenerate hyperbolic equations on the cylindrical domain with mixed Neumann Dirichlet bou…
Shape Design for a Class of Degenerate Parabolic Equations with Boundary Point Degeneracy and Its Application to Boundary Observability
Donghui Yang, Jie Zhong
We study a class of degenerate parabolic equations with boundary point degeneracy in dimensions N>=2 and investigate the associated boundary observability problem by means of shape…
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…
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…
Optimal Actuator Location of the Minimum Norm Controls for Stochastic Heat Equations
Donghui Yang, Jie Zhong
In this paper, we study the approximate controllability for the stochastic heat equation over measurable sets, and the optimal actuator location of the minimum norm controls. We fo…
Hardy's uncertainty principle and unique continuation property for stochastic heat equations
Aingeru Fernández-Bertolin, Jie Zhong
The goal of this paper is to prove a uniqueness result for a stochastic heat equation with a randomly perturbed potential, which can be considered as a variant of Hardy's uncertain…
Observability Inequality of Backward Stochastic Heat Equations for Measurable Sets and Its Applications
Donghui Yang, Jie Zhong
This paper aims to provide directly the observability inequality of backward stochastic heat equations for measurable sets. As an immediate application, the null controllability of…