19 citations · 81 across the 40 of their papers we have counts for
4 papers · 2 filters
An Internal Observability Estimate for Stochastic Hyperbolic Equations
Xiaoyu Fu, Xu Liu, Qi Lu +1
This paper is addressed to establishing an internal observability estimate for some linear stochastic hyperbolic equations. The key is to establish a new global Carleman estimate f…
Pointwise second-order necessary conditions for stochastic optimal controls, Part II: The general case
Haisen Zhang, Xu Zhang
This paper is the second part of our series of work to establish pointwise second-order necessary conditions for stochastic optimal controls. In this part, we consider the general…
Second Order Necessary Conditions for Optimal Control Problems on Riemannian Manifolds
Qing Cui, Li Deng, Xu Zhang
This work is concerned with an optimal control problem on a Riemannian manifold, for which two typical cases are considered. The first case is when the endpoint is free. For this c…
Null Controllability for Wave Equations with Memory
Qi Lu, Xu Zhang, Enrique Zuazua
We study the memory-type null controllability property for wave equations involving memory terms. The goal is not only to drive the displacement and the velocity (of the considered…