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

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.