Geodesic
Boundary control and dynamical reconstruction of vector fileds (the BC-method)
M. I. Belishev1
1 St. Petersbourg Department of Steklov Mathematical Institute
ESAIM. Proceedings, Tome 4 (1998), pp. 1-6 Cet article a éte moissonné depuis la source EDP Sciences

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An approach to the dynamical inverse problems (IP's) based upon their relations to the Boundary Control Theory (the so-called BC-method) is developed. The method is applied to the problem of reconstruction of a vector field given on a Riemannian manifold via the response operator (the dynamical Dirichlet-to-Neumann map). A peculiarity of the case under consideration is that the operator which governs an evolution of the corresponding dynamical system is nonselfadjoint. The paper announces the results and gives a brief description of technique of the BC-method.
DOI : 10.1051/proc:1998017

M. I. Belishev 1

1 St. Petersbourg Department of Steklov Mathematical Institute 
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     title = {Boundary control and dynamical reconstruction of vector fileds (the {BC-method)}},
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M. I. Belishev. Boundary control and dynamical reconstruction of vector fileds (the BC-method). ESAIM. Proceedings, Tome 4 (1998), pp. 1-6. doi: 10.1051/proc:1998017

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