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Matematicheskie Zametki, 2005, Volume 77, Issue 4, Pages 522–534
DOI: https://doi.org/10.4213/mzm2513 (Mi mzm2513) 		 
This article is cited in 44 scientific papers (total in 44 papers)

On the inverse problem of determining the right-hand side of a parabolic equation under an integral overdetermination condition

V. L. Kamynin

Moscow Engineering Physics Institute (State University)
Full-text PDF (224 kB) Citations (44)
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DOI: https://doi.org/10.4213/mzm2513
Abstract: We study the unique solvability of the inverse problem of determining the righthand side of a parabolic equation whose leading coefficient depends on both the time and the spatial variable under an integral overdetermination condition with respect to time. We obtain two types of condition sufficient for the local solvability of the inverse problem as well as study the so-called Fredholm solvability of the inverse problem under consideration.
Received: 04.06.2003
Revised: 07.06.2004
English version:
Mathematical Notes, 2005, Volume 77, Issue 4, Pages 482–493
DOI: https://doi.org/10.1007/s11006-005-0047-6
Bibliographic databases:
UDC: 517.956
Language: Russian
Citation: V. L. Kamynin, “On the inverse problem of determining the right-hand side of a parabolic equation under an integral overdetermination condition”, Mat. Zametki, 77:4 (2005), 522–534; Math. Notes, 77:4 (2005), 482–493
Citation in format AMSBIB
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    • This publication is cited in the following 44 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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