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The Goursat and Cauchy Problems for Three-Dimensional Bianchi Equation

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Abstract

We apply new approach for the Goursat and Cauchy problems with additional recovering of coefficients of equation for selection of the cases of solvability of these problems in quadratures. Instead of introduction of additional boundary value conditions we offer restrictions on the structure of the equation connected with possibility of its factorization.

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Correspondence to V. I. Zhegalov or L. B. Mironova.

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Russian Text © The Author(s), 2020, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, No. 6, pp. 15–20.

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Zhegalov, V.I., Mironova, L.B. The Goursat and Cauchy Problems for Three-Dimensional Bianchi Equation. Russ Math. 64, 11–15 (2020). https://doi.org/10.3103/S1066369X20060031

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  • DOI: https://doi.org/10.3103/S1066369X20060031

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