Abstract:
The second initial-boundary value problem for a parabolic equation is under study. The term in the source function, depending only on time, is to be unknown. It is shown that in contrast to the standard Neumann problem, for the inverse problem with integral overdetermination condition the convergence of it nonstationary solution to the corresponding stationary one is possible for natural restrictions on the input problem data.
This work is supported by the Krasnoyarsk Mathematical Center and
financed by the Ministry of Science and Higher Education of the
Russian Federation in the framework of the establishment and
development of regional Centers for Mathematics Research and
Education (Agreement no. 075-02-2020-1631).
Received: 08.02.2021 Received in revised form: 10.03.2021 Accepted: 20.05.2021
Bibliographic databases:
Document Type:
Article
UDC:
517.9
Language: English
Citation:
Victor K. Andreev, Irina V. Stepanova, “Inverse problem for source function in parabolic equation at Neumann boundary conditions”, J. Sib. Fed. Univ. Math. Phys., 14:4 (2021), 445–451
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\by Victor~K.~Andreev, Irina~V.~Stepanova
\paper Inverse problem for source function in parabolic equation at Neumann boundary conditions
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2021
\vol 14
\issue 4
\pages 445--451
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\crossref{https://doi.org/10.17516/1997-1397-2021-14-4-445-451}
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https://www.mathnet.ru/eng/jsfu929
https://www.mathnet.ru/eng/jsfu/v14/i4/p445
This publication is cited in the following 2 articles:
V. K. Andreev, I. V. Stepanova, “Apriornye i aposteriornye otsenki resheniya odnoi evolyutsionnoi obratnoi zadachi”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 166, no. 1, Izd-vo Kazanskogo un-ta, Kazan, 2024, 5–21
Irina V. Stepanova, “On thermodiffusion of binary mixture in a horizontal channel at inhomogeneous heating the walls”, Zhurn. SFU. Ser. Matem. i fiz., 15:6 (2022), 776–784
Citation in format AMSBIB
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