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Abstract

We obtain a formula which expresses the values of a harmonic function at points of a threedimensional domain in terms of its values and the values of its normal derivative on a portion of the domain boundary.

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Translated from Matematicheskie Zametki, Vol. 18, No. 1, pp. 57–61, July, 1975.

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Yarmukhamedov, S. On a Cauchy problem for Laplace's equation. Mathematical Notes of the Academy of Sciences of the USSR 18, 615–618 (1975). https://doi.org/10.1007/BF01461141

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  • DOI: https://doi.org/10.1007/BF01461141

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