Geodesic
The Goursat and Cauchy problems for three-dimensional Bianchi equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2020), pp. 15-20

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For the coefficient inverse Goursat and Cauchy problems with an additional search for the coefficients of the equation, a new approach to the allocation of solvability cases of these problems in quadratures is proposed. Instead of introducing additional boundary conditions, restrictions on the structure of the equation associated with the possibilities of its factorization are proposed.
Mots-clés : Goursat problem
Keywords: Cauchy problem, factorization, Riemann function, solvability in quadratures. 
@article{IVM_2020_6_a2,
     author = {V. I. Zhegalov and L. B. Mironova},
     title = {The {Goursat} and {Cauchy} problems for three-dimensional {Bianchi} equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {15--20},
     publisher = {mathdoc},
     number = {6},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_6_a2/}
}
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V. I. Zhegalov; L. B. Mironova. The Goursat and Cauchy problems for three-dimensional Bianchi equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2020), pp. 15-20. http://geodesic.mathdoc.fr/item/IVM_2020_6_a2/