6 papers · 1 filter
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…
A Game Problem for Heat Equation
Lijuan Wang, Donghui Yang, Zhiyong Yu
In this paper, we consider a two-person game problem governed by a linear heat equation. The existence of Nash equilibrium for this problem is considered. Moreover, the bang-bang p…
Time-varying Bang-bang Property of Minimal Controls for Approximately Null-controllable Heat Equations
Ning Chen, Yanqing Wang, Dong-Hui Yang
In this paper, optimal time control problems and optimal target control problems are studied for the approximately null-controllable heat equations. Compared with the existed resul…
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…
Exact Controllability of Linear Stochastic Differential Equations and Related Problems
Yanqing Wang, Donghui Yang, Jiongmin Yong +1
A notion of -exact controllability is introduced for linear controlled (forward) stochastic differential equations, for which several sufficient conditions are established. Fu…
Decomposition of vector-valued divergence free Sobolev functions and shape optimization for stationary Navier-Stokes equations
Gengsheng Wang, Donghui Yang
We establish a divergence free partition for vector-valued Sobolev functions with free divergence in . We prove that for any domain $\om$ of class in $…