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arXiv:0709.2282 [math.AP]AbstractReferencesReviewsResources

Carleman estimates and inverse problems for Dirac operators

Mikko Salo, Leo Tzou

Published 2007-09-14, updated 2008-09-08Version 2

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.

Comments: 20 pages; Proposition 2.4 concerning harmonic weights had an incorrect proof in the first version and has been removed, also other changes and corrections
Categories: math.AP, math-ph, math.MP
Subjects: 35R30
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