Logarithmic stability for a coefficient inverse problem of coupled Schrodinger equations

摘要

In this paper, we study an inverse coefficient problem for two coupled Schrodinger equations with an observation of one component of the solution. The observation is carried out 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 Schrodinger equations and coupled heat equations, and the Fourier-Bros-Iagolnitzer transform.

关键词