3 papers
math.OC2018
Finite Codimensional Controllability, and Optimal Control Problems with Endpoint State Constraints
Xu Liu, Qi Lü, Xu Zhang
In this paper, motivated by the study of optimal control problems for infinite dimensional systems with endpoint state constraints, we introduce the notion of finite codimensional…
math.CV2015
On the equivalence between local and global existence of complete Kähler metrics with plurisubharmonic potentials
Xu Liu
Like the classical potential theory, it was conjectured that there exists equivalence between locally and globally pluripolar and complete pluripolar sets, namely, Problem I of Lel…
math.PR2010
Calderon-Type Uniqueness Theorem for Stochastic Partial Differential Equations
Xu Liu, Xu Zhang
In this Note, we present a Calderón-type uniqueness theorem on the Cauchy problem of stochastic partial differential equations. To this aim, we introduce the concept of stochastic…