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The Goursat and Cauchy problems for three-dimensional Bianchi equation
V. I. Zhegalova, L. B. Mironovab a Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
b Kazan Federal University, Yelabyga Institute, 89 Kazanskaya str., Yelabyga, 423600 Russia
Abstract:
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.
Keywords:
Goursat problem, Cauchy problem, factorization, Riemann function, solvability in quadratures.
Received: 03.06.2019 Revised: 03.06.2019 Accepted: 25.09.2019
Citation:
V. I. Zhegalov, L. B. Mironova, “The Goursat and Cauchy problems for three-dimensional Bianchi equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 6, 15–20; Russian Math. (Iz. VUZ), 64:6 (2020), 11–15
Linking options:
https://www.mathnet.ru/eng/ivm9578 https://www.mathnet.ru/eng/ivm/y2020/i6/p15
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Abstract page: | 196 | Full-text PDF : | 87 | References: | 18 | First page: | 2 |
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