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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 4, Pages 55–62
(Mi ivm6725)
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This article is cited in 40 scientific papers (total in 40 papers)
The inverse problem for a mixed-type parabolic-hyperbolic equation in a rectangular domain
K. B. Sabitova, E. M. Safinb a Laboratory of Differential Equations, Academy of Sciences of the Republic of Bashkortostan, Sterlitamak Branch, Sterlitamak, Russia
b Department of Differential Equations, Institute of Mathematics with Computing Center, Ufa Scientific Center, Russian Academy of Sciences, Ufa, Russia
Abstract:
In this paper with the help of the spectral method we obtain a criterion for the unique solvability of the inverse problem for a mixed-type parabolic-hyperbolic equation in a rectangular domain. This problem implies the search of the unknown right-hand side.
Keywords:
spectral method, Fourier series, inverse problem, mixed-type parabolic-hyperbolic equation.
Received: 25.12.2007
Citation:
K. B. Sabitov, E. M. Safin, “The inverse problem for a mixed-type parabolic-hyperbolic equation in a rectangular domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 4, 55–62; Russian Math. (Iz. VUZ), 54:4 (2010), 48–54
Linking options:
https://www.mathnet.ru/eng/ivm6725 https://www.mathnet.ru/eng/ivm/y2010/i4/p55
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Abstract page: | 749 | Full-text PDF : | 297 | References: | 50 | First page: | 18 |
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