Abstract
It is proved that multi-dimensional Darboux problems for the wave equation are correct in the domain\(D_3 \subset E_{m + 1} \) bounded by the surfaces ¦x ¦=t + ɛ and ¦x ¦=1- t and the planet = 0, 0 ≤ ɛ < 1. The behavior of the solutions as ɛ→0 is studied.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 9, pp. 1299–1306, September, 1993.
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Aldashev, S.A. Correctness of multi-dimensional Darboux problems for the wave equation. Ukr Math J 45, 1456–1464 (1993). https://doi.org/10.1007/BF01058644
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DOI: https://doi.org/10.1007/BF01058644