Geodesic
On inverse source problem for wave equation
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 45, Tome 438 (2015), pp. 104-117

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We study the question of identification of initial data in the Cauchy problem for the wave equation with variable velocity. The wave field on some surface in the time-space is assumed to be known. Under some assumptions concerning the velocity it is shown that some part of singularities of initial data can be recovered. 
@article{ZNSL_2015_438_a7,
     author = {M. N. Demchenko},
     title = {On inverse source problem for wave equation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {104--117},
     publisher = {mathdoc},
     volume = {438},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_438_a7/}
}
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M. N. Demchenko. On inverse source problem for wave equation. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 45, Tome 438 (2015), pp. 104-117. http://geodesic.mathdoc.fr/item/ZNSL_2015_438_a7/