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Issue ESAIM: Proc.
Volume 4, 1998
Control and partial differential equations
Page(s) 1 - 6
DOI http://dx.doi.org/10.1051/proc:1998017

ESAIM: Proc., 1998, Vol. 4, pp. 1-6
DOI: 10.1051/proc:1998017

Boundary control and dynamical reconstruction of vector fileds (the BC-method)

M.I. Belishev

St. Petersbourg Department of Steklov Mathematical Institute


Abstract
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.



© EDP Sciences, ESAIM 1998


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