3 papers
math.AP2024
Quantitative uniqueness estimates for stochastic parabolic equations on the whole Euclidean space
Yuanhang Liu, Donghui Yang, Xingwu Zeng +1
In this paper, a quantitative estimate of unique continuation for the stochastic heat equation with bounded potentials on the whole Euclidean space is established. This paper gener…
math.AP2023
The solvability and a Stackelberg-Nash game problem for degenerate elliptic equations
Yuanhang Liu, Weijia Wu, Donghui Yang +1
This study aims to investigate the functional properties of weak solution spaces and their compact embedding properties in relation to the Dirichlet problem associated with a speci…
math.OC2023
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…