Inverse coefficient problems for a transport equation by local Carleman estimate. (23rd September 2019)

• Record Type: Journal Article
• Authors: Cannarsa, P; Floridia, G; Gölgeleyen, F; Yamamoto, M
• Is Part Of: Inverse problems. Volume 35:Number 10(2019)
• Publication Date: 2019-09-23
• Subjects: inverse coefficient problem -- transport equation -- stability -- local Carleman estimate; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/ab1c69
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: We consider the transport equation in where is a bounded domain, and discuss two inverse problems which consist of determining a vector-valued function or a real-valued function by initial values and data on a subboundary of . Our results are conditional stability of Hölder type in a subdomain D provided that the outward normal component of is positive on . The proofs are based on a Carleman estimate where the weight function depends on H .