4 papers
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 $…