Inverse problems with partial data for a Dirac system: A Carleman estimate approach

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Abstract

We prove that the material parameters in a Dirac system with magnetic and electric potentials are uniquely determined by measurements made on a possibly small subset of the boundary. The proof is based on a combination of Carleman estimates for first and second order systems, and involves a reduction of the boundary measurements to the second order case. For this reduction a certain amount of decoupling is required. To effectively make use of the decoupling, the Carleman estimates are established for coefficients which may become singular in the asymptotic limit. © 2010 Elsevier Inc.

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Salo, M., & Tzou, L. (2010). Inverse problems with partial data for a Dirac system: A Carleman estimate approach. Advances in Mathematics, 225(1), 487–513. https://doi.org/10.1016/j.aim.2010.03.003

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