Stability in inverse problem of an elastic plate with a curved middle surface. (16th March 2023)

• Record Type: Journal Article
• Authors: Fu, Song-Ren; Yao, Peng-Fei
• Is Part Of: Inverse problems. Volume 39:Number 4(2023)
• Publication Date: 2023-03-16
• Subjects: inverse problem -- riemannian geometry -- carleman estimate -- observability inequality -- stability; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/acc19b
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: We consider stability in an inverse problem of determining three spatially varying functions including the source term and the mass density for a curved plate by the Riemannian geometrical approach. The stability is derived by the Carleman estimates and observability inequalities. Two kinds of boundary conditions are considered: one is the hinged boundary conditions and the other is the clamped boundary conditions. In particular, the case of the Euler–Bernoulli plate is included.