Volume 4, 1998Control and partial differential equations
|Page(s)||1 - 6|
|Published online||15 August 2002|
Boundary control and dynamical reconstruction of vector fileds (the BC-method)
St. Petersbourg Department of Steklov Mathematical Institute
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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