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Matematicheskie Zametki, 1992, Volume 51, Issue 2, Pages 77–87 (Mi mzm4476)  

This article is cited in 10 scientific papers (total in 10 papers)

Uniqueness of a solution of the inverse problem for the evolution equation and application to the transport equation

A. I. Prilepko, I. V. Tikhonov

Moscow Engineering Physics Institute (State University)
Received: 20.03.1991
English version:
Mathematical Notes, 1992, Volume 51, Issue 2, Pages 158–165
DOI: https://doi.org/10.1007/BF02102123
Bibliographic databases:
UDC: 517
Language: Russian
Citation: A. I. Prilepko, I. V. Tikhonov, “Uniqueness of a solution of the inverse problem for the evolution equation and application to the transport equation”, Mat. Zametki, 51:2 (1992), 77–87; Math. Notes, 51:2 (1992), 158–165
Citation in format AMSBIB
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\by A.~I.~Prilepko, I.~V.~Tikhonov
\paper Uniqueness of a solution of the inverse problem for the evolution equation and application to the transport equation
\jour Mat. Zametki
\yr 1992
\vol 51
\issue 2
\pages 77--87
\mathnet{http://mi.mathnet.ru/mzm4476}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1165470}
\zmath{https://zbmath.org/?q=an:0792.34011}
\transl
\jour Math. Notes
\yr 1992
\vol 51
\issue 2
\pages 158--165
\crossref{https://doi.org/10.1007/BF02102123}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992JW31000031}
Linking options:
  • https://www.mathnet.ru/eng/mzm4476
  • https://www.mathnet.ru/eng/mzm/v51/i2/p77
  • This publication is cited in the following 10 articles:
    1. Bayan Bekbolat, Niyaz Tokmagambetov, “Inverse source problem for the pseudoparabolic equation associated with the Jacobi operator”, Bound Value Probl, 2024:1 (2024)  crossref
    2. Kamil Basirovich Sabitov, Stanislav Nikolaevich Sidorov, “Inverse problems for equations of a mixed parabolic-hyperbolic type with power degeneration in finding the right-hand parts that depend on time”, Journal of Inverse and Ill-posed Problems, 31:6 (2023), 823  crossref
    3. Jin Wen, Ziyan Xiang, Longlong Li, Yulu Zhang, Huili Yan, Yi Zhu, “The Application of Boundary Element Method for The Solution of The Inverse Heat Conduction”, J. Phys.: Conf. Ser., 2441:1 (2023), 012019  crossref
    4. D. G. Orlovsky, S. I. Piskarev, “On approximation of coefficient inverse problems for differential equations in functional spaces”, J. Math. Sci. (N. Y.), 230:6 (2018), 823–906  mathnet  mathnet  crossref  scopus
    5. Charyyar Ashyralyyev, Oznur Demirdag, “The Difference Problem of Obtaining the Parameter of a Parabolic Equation”, Abstract and Applied Analysis, 2012 (2012), 1  crossref
    6. Abdullah Said Erdogan, “A Note on the Right-Hand Side Identification Problem Arising in Biofluid Mechanics”, Abstract and Applied Analysis, 2012 (2012), 1  crossref
    7. D. S. Tkachenko, “On an Inverse Problem for a Parabolic Equation”, Math. Notes, 75:5 (2004), 676–689  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    8. V. E. Fedorov, A. V. Urazaeva, “An inverse problem for linear Sobolev type equations”, Journal of Inverse and Ill-posed Problems, 12:4 (2004), 387  crossref
    9. A. I. Prilepko, I. V. Tikhonov, “Reconstruction of the nonhomogeneous term in an abstract evolution equation”, Russian Acad. Sci. Izv. Math., 44:2 (1995), 373–394  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    10. A. I. Prilepko, I. V. Tikhonov, “An Inverse Problem with Final Time Additional Condition for an Abstract Evolution Equation in an Ordered Banach Space”, Funct. Anal. Appl., 27:1 (1993), 68–70  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
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