Geodesic
On some applications of the boundary control method to spectral estimation and inverse problems
Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 1, pp. 63-78.

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We consider applications of the Boundary Control (BC) method to generalized spectral estimation problems and to inverse source problems. We derive the equations of the BC method for these problems and show that the solvability of these equations crucially depends on the controllability properties of the corresponding dynamical system and properties of the corresponding families of exponentials.
Keywords: spectral estimation problem, boundary control method, identification problem, inverse problem, Schrödinger equation, hyperbolic system. 
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     author = {S. A. Avdonin and A. S. Mikhailov and V. S. Mikhailov},
     title = {On some applications of the boundary control method to spectral estimation and inverse problems},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2015_6_1_a3/}
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S. A. Avdonin; A. S. Mikhailov; V. S. Mikhailov. On some applications of the boundary control method to spectral estimation and inverse problems. Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 1, pp. 63-78. http://geodesic.mathdoc.fr/item/NANO_2015_6_1_a3/