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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2012, Issue 6(97), Pages 27–34
(Mi vsgu27)
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This article is cited in 2 scientific papers (total in 2 papers)
Mathematics
About a transformation of Schwarz problem
V. G. Nikolaev The Dept. of Algebra and Geometry, Novgorod State University, Velikiy Novgorod, 173003, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
We consider the Schwarz problem for vector-valued functions analytic according to Douglis. We prove that under certain conditions on the matrix this problem is reduced to the Dirichlet problem for some equivalent system of second-order PDEs. The reversebility of transformations is proved, and on that ground the theorem of uniqueness is established. A special case when reduction is impossible is also viewed. The examples are given.
Keywords:
analytic functions according to Douglis, Schwarz problem, equivalent reduction, uniqueness.
Received: 04.06.2012 Accepted: 04.06.2012
Citation:
V. G. Nikolaev, “About a transformation of Schwarz problem”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, no. 6(97), 27–34
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https://www.mathnet.ru/eng/vsgu27 https://www.mathnet.ru/eng/vsgu/y2012/i6/p27
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Abstract page: | 152 | Full-text PDF : | 69 | References: | 33 | First page: | 1 |
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