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Mathematical notes of NEFU, 2022, Volume 29, Issue 2, Pages 43–58
DOI: https://doi.org/10.25587/SVFU.2022.32.61.004
(Mi svfu349)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

On solvability of inverse problems of determining point sources

S. G. Pyatkov, L. V. Neustroeva

Yugra State University, Khanty-Mansiysk
Full-text PDF (309 kB) Citations (1)
Abstract: We examine the questions of solvability, uniqueness, and some qualitative properties of solutions to inverse problems of determining point sources (the right-hand side of a special form) in a parabolic equation. We describe the classes of data for which the problem has a solution, present some existence and uniqueness results with data in these classes, and also some asymptotic representations of the Green function of the stationary problem.
Keywords: parabolic equation, inverse problem, initial-boundary value problem, well-posedness, existence, uniqueness.
Received: 22.12.2021
Accepted: 31.05.2022
Document Type: Article
UDC: 517.95
Language: Russian
Citation: S. G. Pyatkov, L. V. Neustroeva, “On solvability of inverse problems of determining point sources”, Mathematical notes of NEFU, 29:2 (2022), 43–58
Citation in format AMSBIB
\Bibitem{PyaNeu22}
\by S.~G.~Pyatkov, L.~V.~Neustroeva
\paper On solvability of inverse problems of determining point sources
\jour Mathematical notes of NEFU
\yr 2022
\vol 29
\issue 2
\pages 43--58
\mathnet{http://mi.mathnet.ru/svfu349}
\crossref{https://doi.org/10.25587/SVFU.2022.32.61.004}
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    Mathematical notes of NEFU
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