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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2003, Volume 43, Number 4, Pages 562–570 (Mi zvmmf1033)  

This article is cited in 32 scientific papers (total in 32 papers)

Properties of solutions of a parabolic equation and the uniqueness of the solution 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: 09.09.2002
Bibliographic databases:
Document Type: Article
UDC: 519.635.7
MSC: Primary 35R30; Secondary 35K20
Language: Russian
Citation: A. I. Prilepko, D. S. Tkachenko, “Properties of solutions of a parabolic equation and the uniqueness of the solution of the inverse source problem with integral overdetermination”, Zh. Vychisl. Mat. Mat. Fiz., 43:4 (2003), 562–570; Comput. Math. Math. Phys., 43:4 (2003), 537–546
Citation in format AMSBIB
\Bibitem{PriTka03}
\by A.~I.~Prilepko, D.~S.~Tkachenko
\paper Properties of solutions of a parabolic equation and the uniqueness of the solution of the inverse source problem with integral overdetermination
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2003
\vol 43
\issue 4
\pages 562--570
\mathnet{http://mi.mathnet.ru/zvmmf1033}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1993685}
\zmath{https://zbmath.org/?q=an:1078.35138}
\elib{https://elibrary.ru/item.asp?id=13428078}
\transl
\jour Comput. Math. Math. Phys.
\yr 2003
\vol 43
\issue 4
\pages 537--546
Linking options:
  • https://www.mathnet.ru/eng/zvmmf1033
  • https://www.mathnet.ru/eng/zvmmf/v43/i4/p562
  • This publication is cited in the following 32 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. A. M. Denisov, “O edinstvennosti resheniya zadachi opredeleniya sostavnogo istochnika v uravnenii teploprovodnosti”, Tr. IMM UrO RAN, 27, no. 2, 2021, 120–127  mathnet  crossref  elib
    3. 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
    4. Oanh Nguyen Thi Ngoc, Giang Le Thi Thu, “Existence of Optimal Solution to the Problem of Finding An Initial Condition For Nonlinear Diffusion From Integral Observations”, Asian-Eur. J. Math., 14:08 (2021), 2150142  crossref  mathscinet  isi
    5. Aliyev Z.S. Mehraliyev Ya.T. Yusifova E.H., “On Some Nonlocal Inverse Boundary Problem For Partial Differential Equations of Third Order”, Turk. J. Math., 45:4 (2021), 1871–1886  crossref  mathscinet  isi
    6. Mehraliyev Ya., Ramazanova A., Sevdimaliyev Yu., “An Inverse Boundary Value Problem For the Equation of Flexural Vibrations of a Bar With An Integral Conditions of the First Kind”, J. Math. Anal., 11:5 (2020), 1–12  isi
    7. Ramazanova A., Mehraliyev Ya., “On Solvability of Inverse Problem For One Equation of Fourth Order”, Turk. J. Math., 44:2 (2020), 611–621  crossref  isi
    8. T. K. Yuldashev, “Opredelenie koeffitsienta v nelokalnoi zadache dlya integro-differentsialnogo uravneniya tipa Bussineska s vyrozhdennym yadrom”, Vladikavk. matem. zhurn., 21:2 (2019), 67–84  mathnet  crossref  elib
    9. Azizbayov E.I. Mehraliyev Ya.T., “Nonlocal Inverse Problem For Determination of Time Derivative Coefficient in a Second-Order Parabolic Equation”, Adv. Differ. Equ. Control Process., 19:1 (2018), 15–36  crossref  mathscinet  isi
    10. 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
    11. Azizbayov E. Mehraliyev Ya., “Inverse Problem For a Parabolic Equation in a Rectangle Domain With Integral Conditions”, Eur. J. Pure Appl Math., 10:5 (2017), 981–994  mathscinet  zmath  isi
    12. Azizbayov E., Mehraliyev Ya., “Solvability of Nonlocal Inverse Boundary-Value Problem For a Second-Order Parabolic Equation With Integral Conditions”, Electron. J. Differ. Equ., 2017, 125  mathscinet  zmath  isi
    13. Yuldashev T.K., “Determination of the Coefficient and Boundary Regime in Boundary Value Problem For Integro-Differential Equation With Degenerate Kernel”, Lobachevskii J. Math., 38:3, SI (2017), 547–553  crossref  mathscinet  zmath  isi  scopus
    14. A. I. Prilepko, A. B. Kostin, V. V. Solov'ev, “Inverse source and inverse coefficients problems for elliptic and parabolic equations in Hölder and Sobolev spaces”, J. Math. Sci., 237:4 (2019), 576–594  mathnet  crossref  crossref
    15. T. K. Yuldashev, “Inverse problem for a nonlinear Benney–Luke type integro-differential equations with degenerate kernel”, Russian Math. (Iz. VUZ), 60:9 (2016), 53–60  mathnet  crossref  isi
    16. T. K. Yuldashev, “Obratnaya zadacha dlya integro-differentsialnogo uravneniya Fredgolma tretego poryadka s vyrozhdennym yadrom”, Vladikavk. matem. zhurn., 18:2 (2016), 76–85  mathnet
    17. A. M. Denisov, “Uniqueness and nonuniqueness of the solution to the problem of determining the source in the heat equation”, Comput. Math. Math. Phys., 56:10 (2016), 1737–1742  mathnet  crossref  crossref  isi  elib
    18. T. K. Yuldashev, “Obratnaya zadacha dlya obyknovennogo integro-differentsialnogo uravneniya s vyrozhdennym yadrom i nelokalnymi integralnymi usloviyami”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2016, no. 3, 19–33  mathnet  crossref  elib
    19. T. K. Yuldashev, “Obratnaya zadacha dlya nelineinogo integro-differentsialnogo uravneniya Fredgolma chetvertogo poryadka s vyrozhdennym yadrom”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 19:4 (2015), 736–749  mathnet  crossref  zmath  elib
    20. Aliev Z.S., Mehraliev Ya.T., “An Inverse Boundary Value Problem For a Second-Order Hyperbolic Equation With Nonclassical Boundary Conditions”, Dokl. Math., 90:1 (2014), 513–517  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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