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Mathematics
Recovering a source function in a one-dimensional parabolic equation with dead zones taking into account
S. G. Pyatkovab, V. V. Rotkoa a Yugra State University, 16 Chekhov Street, Khanty-Mansyisk 628012, Russia
b Sobolev Institute of Mathematics, 4 Koptyug Avenue, Novosibirsk 630090, Russia
Abstract:
We examine the question of well-posedness in the Sobolev spaces of an inverse problem of determining a source function in a system comprising a parabolic equation and an ordinary differential equation. The overdetermination conditions are the values of concentration of an admixture at separate points. We prove existence and uniqueness of solutions to the problem.
Keywords:
parabolic equation, inverse problem, heat-and-mass transfer, boundary value problem, source function.
Received: 20.09.2016
Citation:
S. G. Pyatkov, V. V. Rotko, “Recovering a source function in a one-dimensional parabolic equation with dead zones taking into account”, Mathematical notes of NEFU, 23:4 (2016), 46–57
Linking options:
https://www.mathnet.ru/eng/svfu38 https://www.mathnet.ru/eng/svfu/v23/i4/p46
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Abstract page: | 251 | Full-text PDF : | 71 | References: | 51 |
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