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math.AP2026
Double-logarithmic stability for a parabolic inverse problem on CTA manifolds
Yujian Zheng, Zhiwen Duan, Shiqi Jing
We establish a double-logarithmic stability estimate for the recovery of a time-dependent potential in the parabolic equation on a conformally transve…
math.AP2026
Time-Dependent Potential Recovery from Local Data on Conformally Transversally Anisotropic Manifolds
Yujian Zheng, Zhiwen Duan, Shiqi Jing
We study the recovery of a time-dependent potential in a parabolic equation on a conformally transversally anisotropic manifold. The initial state and a lateral Dirichlet datum sup…
math.AP2023
Observability and unique continuation inequalities for the Schrödinger equations with inverse-square potentials
Hui Xu, Longben Wei, Zhiwen Duan
This paper is inspired by Wang, Wang and Zhang's work [ Observability and unique continuation inequalities for the Schrödinger equation. J. Eur. Math. Soc. 21, 3513--3572 (2019)],…