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

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

2009-02-19

arxiv.org/abs/0902.3383v1

Mathematics

Analysis of PDEs

23 pages

Scientific paper

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.

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