19 citations · 81 across the 40 of their papers we have counts for
40 papers
Numerical Analysis on Backward Stochastic Differential Equations by Finite Transposition Method
Penghui Wang, Yanqing Wang, Xu Zhang
In this paper, we propose a finite transposition method to solve backward stochastic differential equations (BSDEs, for short). Based on the transposition solution theory for BSDEs…
Null control of heat equations with analytic memory kernels
Qi Lü, Xu Zhang, Enrique Zuazua
We analyze the control properties of heat equations with memory terms. We recall previous results showing that if the moving support of the control covers the whole domain where he…
The fundamental gap of a kind of two dimensional sub-elliptic operator
Hongli Sun, Donghui Yang, Xu Zhang
This paper is concerned at the minimization fundamental gap problem for a class of two-dimensional degenerate sub-elliptic operators. We establish existence results for weak soluti…
Numerics for Stochastic Distributed Parameter Control Systems: a Finite Transposition Method
Qi Lü, Penghui Wang, Yanqing Wang +1
In this chapter, we present some recent progresses on the numerics for stochastic distributed parameter control systems, based on the \emph{finite transposition method} introduced…
Verifiable constraint qualifications for infinite-dimensional optimization problems and their applications to optimal control problems
Xu Liu, Qi Lü, Haisen Zhang +1
This paper employs a finite codimensionality condition to establish an enhanced Fritz John condition for general constrained nonlinear infinite-dimensional optimization problems. I…
A Concise Introduction to Control Theory for Stochastic Partial Differential Equations
Qi Lü, Xu Zhang
The aim of this notes is to give a concise introduction to control theory for systems governed by stochastic partial differential equations. We shall mainly focus on controllabilit…