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math-ph2013★ 13 cited
Elements of noncommutative geometry in inverse problems on manifolds
M. I. Belishev, M. N. Demchenko
We deal with two dynamical systems associated with a Riemannian manifold with boundary. The first one is a system governed by the scalar wave equation, the second is governed by th…
math-ph2012★ 2 cited
C*-algebras and inverse problem of electrodynamics
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 inv…