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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.AP2023
Observability inequality, the interpolation inequality and the spectral inequality for the degenerate parabolic equation in R
Yuanhang Liu, Weijia Wu, Donghui Yang
This paper investigates the interrelationships between the observability inequality, the Hölder-type interpolation inequality, and the spectral inequality for the degenerate parabo…