Logarithmic Stability for Coefficients Inverse Problem of Coupled Schrödinger Equations

Abstract

In this paper, we study an inverse coefficients problem for two coupled Schrödinger equations with an observation of one component of the solution. The observation is done in a nonempty open subset of the domain where the equations hold. A logarithmic type stability result is obtained. The main method is based on the Carleman estimate for coupled Schrödinger equations and coupled heatn equations, and the Fourier-Bros-Iagolnitzer transform.