Geodesic
On a uniqueness of the recovering low-order terms in the wave equation via dynamical boundary measurements
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 29, Tome 249 (1997), pp. 55-76

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An approach to the dynamical inverse problems based upon their relations to the Boundary Control Theory (so-called $BC$-method) is developed. The method is applied to the problem of reconstruction of a vector field in a domain 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 gives a brief description of technique of the $BC$-method. 
@article{ZNSL_1997_249_a3,
     author = {M. I. Belishev},
     title = {On a uniqueness of the recovering low-order terms in the wave equation via dynamical boundary measurements},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {55--76},
     publisher = {mathdoc},
     volume = {249},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_249_a3/}
}
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M. I. Belishev. On a uniqueness of the recovering low-order terms in the wave equation via dynamical boundary measurements. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 29, Tome 249 (1997), pp. 55-76. http://geodesic.mathdoc.fr/item/ZNSL_1997_249_a3/