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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2003, Volume 43, Number 9, Pages 1392–1401 (Mi zvmmf966)  

This article is cited in 5 scientific papers (total in 5 papers)

The Fredholm property and the well-posedness of the inverse source problem with integral overdetermination

A. I. Prilepkoa, D. S. Tkachenkob

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Moscow Engineering Physics Institute (State University)
References:
Received: 28.03.2002
Revised: 11.02.2003
Bibliographic databases:
Document Type: Article
UDC: 519.632.8
MSC: Primary 35R30; Secondary 35B35, 35J25
Language: Russian
Citation: A. I. Prilepko, D. S. Tkachenko, “The Fredholm property and the well-posedness of the inverse source problem with integral overdetermination”, Zh. Vychisl. Mat. Mat. Fiz., 43:9 (2003), 1392–1401; Comput. Math. Math. Phys., 43:9 (2003), 1338–1347
Citation in format AMSBIB
\Bibitem{PriTka03}
\by A.~I.~Prilepko, D.~S.~Tkachenko
\paper The Fredholm property and the well-posedness of the inverse source problem with integral overdetermination
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2003
\vol 43
\issue 9
\pages 1392--1401
\mathnet{http://mi.mathnet.ru/zvmmf966}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2014990}
\zmath{https://zbmath.org/?q=an:1073.45518}
\transl
\jour Comput. Math. Math. Phys.
\yr 2003
\vol 43
\issue 9
\pages 1338--1347
Linking options:
  • https://www.mathnet.ru/eng/zvmmf966
  • https://www.mathnet.ru/eng/zvmmf/v43/i9/p1392
  • This publication is cited in the following 5 articles:
    1. V. L. Kamynin, “The Inverse Problem of Recovering the Source Function in a Multidimensional Nonuniformly Parabolic Equation”, Math. Notes, 112:3 (2022), 412–423  mathnet  crossref  crossref  mathscinet
    2. Phan Xuan Thanh, “Space-Time Finite Element Method For Determination of a Source in Parabolic Equations From Boundary Observations”, J. Inverse Ill-Posed Probl., 29:5 (2021), 689–705  crossref  mathscinet  isi  scopus
    3. Kamynin V., Kostin A.B., Vii International Conference Problems of Mathematical Physics and Mathematical Modelling, Journal of Physics Conference Series, 1205, IOP Publishing Ltd, 2019  crossref  isi
    4. A. I. Prilepko, V. L. Kamynin, A. B. Kostin, “Inverse Source Problem For Parabolic Equation With the Condition of Integral Observation in Time”, J. Inverse Ill-Posed Probl., 26:4 (2018), 523–539  crossref  mathscinet  zmath  isi  scopus
    5. A. B. Kostin, “The inverse problem of recovering the source in a parabolic equation under a condition of nonlocal observation”, Sb. Math., 204:10 (2013), 1391–1434  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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