Work

Stability for an inverse flux and an inverse boundary coefficient problems

Year: 2025

Type: article

Abstract: We establish both Lipschitz and logarithmic stability estimates for an inverse flux problem and subsequently apply these results to an inverse boundary coefficient problem. Furthermore, we demonstrate how the stability inequalities derived for the inverse boundary coefficient problem can be utilized in solving an inverse corrosion problem. This involves determining the unknown corrosion coefficient on an inaccessible part of the boundary based on measurements taken on the accessible part of the boundary.

Source: Inverse Problems and Imaging

DOI: 10.3934/ipi.2025058

Authors: Mourad Choulli, Shuai Lu, Hiroshi Takase

Institutions: Université de Lorraine, Fudan University, Kyushu University

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Natural Science Foundation of China, Science and Technology Commission of Shanghai Municipality, Japan Society for the Promotion of Science

Awards: G2895446663, G6446256263, G7742448768, Exploration of a new conditional stability theory and its application to inverse problems