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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 1, Pages 72–84
(Mi ivm7173)
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This article is cited in 6 scientific papers (total in 6 papers)
Reconstruction of solutions to a generalized Moisil–Teodorescu system in a spatial domain from their values on a part of the boundary
E. N. Sattorov Chair of Mathematical Physics and Function Theory, Samarkand State University, Samarkand, Republic of Uzbekistan
Abstract:
In this paper we consider the problem of reconstructing solutions to a generalized Moisil–Teodorescu system in a spatial domain from their values on a part of the domain boundary, i.e., the Cauchy problem. We construct an approximate solution to this problem with the help of the Carleman matrix method.
Keywords:
generalized Moisil–Teodorescu system, ill-posed problems, regularized solution, approximate solution, Carleman matrix.
Received: 13.05.2009
Citation:
E. N. Sattorov, “Reconstruction of solutions to a generalized Moisil–Teodorescu system in a spatial domain from their values on a part of the boundary”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 1, 72–84; Russian Math. (Iz. VUZ), 55:1 (2011), 62–73
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https://www.mathnet.ru/eng/ivm7173 https://www.mathnet.ru/eng/ivm/y2011/i1/p72
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Abstract page: | 344 | Full-text PDF : | 99 | References: | 50 | First page: | 13 |
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