The question of identification of initial data in the Cauchy problem for the wave equation with a variable velocity is studied. The wave field on some surface in the time-space is assumed to be known. Under certain assumptions concerning the velocity, it is shown that some part of singularities of the initial data can be recovered.
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Dedicated to Vasilii Mikhailovich Babich
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 438, 2015, pp. 104–117.
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Demchenko, M.N. On the Inverse Source Problem for the Wave Equation. J Math Sci 224, 69–78 (2017). https://doi.org/10.1007/s10958-017-3395-3
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DOI: https://doi.org/10.1007/s10958-017-3395-3