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The Goursat and Cauchy problems for three-dimensional Bianchi equation

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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… Click to show full 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.

Keywords: equation; three dimensional; cauchy problems; problems three; dimensional bianchi; goursat cauchy

Journal Title: Russian Mathematics
Year Published: 2020

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