Geodesic
Equations of Gel'fand–Levitan type in multidimensional inverse problem for the wave equation
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 17, Tome 165 (1987), pp. 15-20
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An approach for multidimensional inverse problems based on the results and ideas of boundary value control theory (Russell D.L., Lions G.L.) is developed. 
@article{ZNSL_1987_165_a2,
     author = {M. I. Belishev},
     title = {Equations of {Gel'fand{\textendash}Levitan} type in multidimensional inverse problem for the wave equation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {15--20},
     year = {1987},
     volume = {165},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_165_a2/}
}
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M. I. Belishev. Equations of Gel'fand–Levitan type in multidimensional inverse problem for the wave equation. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 17, Tome 165 (1987), pp. 15-20. http://geodesic.mathdoc.fr/item/ZNSL_1987_165_a2/