Friday, June 1, 2012

1205.7090 (M. I. Belishev et al.)

C*-algebras and inverse problem of electrodynamics    [PDF]

M. I. Belishev, M. N. Demchenko
We consider the dynamical inverse problem for the Maxwell system on a Riemannian 3-manifold with boundary in a time-optimal set-up. Using BC-method we show that the data of the inverse problem (electromagnetic measurements on the boundary) determine a $C$*-algebra, which has a spectrum homeomorphic to a part of the manifold. This part depends on the duration of measurements.
View original: http://arxiv.org/abs/1205.7090

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