Inverse problems of identification of pointwise sources in parabolic problems
https://doi.org/10.25587/2411-9326-2025-2-96-97
Abstract
The question of well-posedness in Sobolev spaces of parabolic inverse problems on recovering the source is considered. The unknowns are a solution to the equation and its the right-hand side which is representable in the form of a sum of the products of functions depending on time and Dirac delta-functions.
About the Authors
L. V. Neustroeva
Yugra State University, Engineering School of Digital Technologies
Russian Federation
Russian Federation
Lyubov V. Neustroeva
16 Chekhov Street, Khanty-Mansiysk 628012
S. A. Shmorgan
Yugra State University, Engineering School of Digital Technologies
Russian Federation
Russian Federation
Sergey A. Shmorgan
16 Chekhov Street, Khanty-Mansiysk 628012
References
1. Prilepko A. I., Orlovsky D. G., Vasin I. A. Methods for solving inverse problems in mathematical physics. New York: Marcel Dekker, Inc., 1999.
2. Пятков С. Г., Неустроева Л. В. О разрешимости обратных задач об определении точечных источников // Мат. заметки СВФУ. 2022. Т. 29, № 2. С. 43–58.
Review
For citations:
Neustroeva L.V., Shmorgan S.A. Inverse problems of identification of pointwise sources in parabolic problems. Mathematical notes of NEFU. 2025;32(2):96-97. (In Russ.) https://doi.org/10.25587/2411-9326-2025-2-96-97
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