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math-ph2016★ 2 cited
On algebras of three-dimensional quaternionic harmonic fields
M. I. Belishev
A quaternionic field is a pair of function and vector field given on a 3d Riemannian maifold with the boundary. The field is said to be harmonic if $\nabla…
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…
math-ph2010
-points in acoustical scattering
Mikhail Belishev, Aleksei Vakulenko
The notion of -points has been introduced by the authors (SIAM JMA, 39 (2008), 1821--1850) in connection with the control problem for the dynamical system governed by the $3\rm…