Carleman estimates and inverse problems for Dirac operators

Details Carleman estimates and inverse problems for Dirac operators Carleman estimates and inverse problems for Dirac operators

2007-09-14

arxiv.org/abs/0709.2282v2

Mathematics

Analysis of PDEs

20 pages; Proposition 2.4 concerning harmonic weights had an incorrect proof in the first version and has been removed, also o

Scientific paper

We consider limiting Carleman weights for Dirac operators and prove corresponding Carleman estimates. In particular, we show that limiting Carleman weights for the Laplacian also serve as limiting weights for Dirac operators. As an application we consider the inverse problem of recovering a Lipschitz continuous magnetic field and electric potential from boundary measurements for the Pauli Dirac operator.

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