Determining a potential of the parabolic equation from partial boundary measurements*This work was supported by NSFC (61671009). (2nd August 2021)

• Record Type: Journal Article
• Authors: Fan, Jiaming; Duan, Zhiwen
• Is Part Of: Inverse problems. Volume 37:Number 9(2021)
• Publication Date: 2021-08-02
• Subjects: parabolic operator -- Carleman estimate -- inverse problem -- complex geometrical optics solutions; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/ac156d
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: We concern the operator ∂ t − Δ + q with the Dirichlet boundary conditions on a bounded domain in R n, n ⩾ 3, and show that the knowledge of the Dirichlet-to-Neumann map measured on a very small subset of the boundary determines the potential uniquely.