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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2012, Issue 11, Pages 33–42
(Mi vyuru44)
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This article is cited in 2 scientific papers (total in 2 papers)
Mathematical Modelling
Linear Inverse Problems for a Class of Degenerate Equations of Sobolev Type
A. I. Kozhanov Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences (Novosibirsk, Russian Federation)
Abstract:
Considering degenerate equations of Sobolev type with principal part an elliptic parabolic operator, we study solvability of linear inverse problems with final and integral overdetermination and prove existence of regular solutions.
Keywords:
linear inverse problems, final overdetermination, integral overdetermination, degenerate equations of Sobolev type, regular solutions, existence.
Received: 19.12.2011
Citation:
A. I. Kozhanov, “Linear Inverse Problems for a Class of Degenerate Equations of Sobolev Type”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 11, 33–42
Linking options:
https://www.mathnet.ru/eng/vyuru44 https://www.mathnet.ru/eng/vyuru/y2012/i11/p33
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