Work

The Stability of the Coefficients Inverse Problem for a Coupled Hyperbolic System by Measurements of One Component

Year: 2026

Type: article

Abstract: This paper investigates the identification of two coefficients in a coupled hyperbolic system with observation data of one component of the solution. By employing a Carleman estimate for coupled wave equations, we establish a logarithmic stability result based on measurements taken in an arbitrarily chosen nonempty subdomain, under the assumption that the coefficients are known in a neighborhood of a portion of the boundary.

Source: CSIAM Transactions on Applied Mathematics

DOI: 10.4208/csiam-am.so-2025-0133

Authors: Fangfang Dou, Masahiro Yamamoto

Institutions: University of Electronic Science and Technology of China, Zonguldak Bülent Ecevit University, The University of Tokyo

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7225594723

FWCI:

Cites: 34

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Related to: 10