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Sibirskii Matematicheskii Zhurnal, 1992, Volume 33, Number 3, Pages 146–155 (Mi smj3232)  

This article is cited in 33 scientific papers (total in 33 papers)

Inverse problems of determining the coefficient in a parabolic equation. I

A. I. Prilepko, A. B. Kostin
Received: 19.09.1991
English version:
Siberian Mathematical Journal, 1992, Volume 33, Issue 3, Pages 489–496
DOI: https://doi.org/10.1007/BF00970897
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. I. Prilepko, A. B. Kostin, “Inverse problems of determining the coefficient in a parabolic equation. I”, Sibirsk. Mat. Zh., 33:3 (1992), 146–155; Siberian Math. J., 33:3 (1992), 489–496
Citation in format AMSBIB
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\by A.~I.~Prilepko, A.~B.~Kostin
\paper Inverse problems of determining the coefficient in a parabolic equation.~I
\jour Sibirsk. Mat. Zh.
\yr 1992
\vol 33
\issue 3
\pages 146--155
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1178466}
\zmath{https://zbmath.org/?q=an:0784.35122}
\transl
\jour Siberian Math. J.
\yr 1992
\vol 33
\issue 3
\pages 489--496
\crossref{https://doi.org/10.1007/BF00970897}
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Linking options:
  • https://www.mathnet.ru/eng/smj3232
  • https://www.mathnet.ru/eng/smj/v33/i3/p146
    Cycle of papers
    This publication is cited in the following 33 articles:
    1. V. L. Kamynin, “Inverse problem of determining the absorption coefficient in a multidimensional nonuniformly parabolic equation”, Math. Notes, 116:5 (2024), 975–986  mathnet  crossref  crossref
    2. A. N. Artyushin, “Obratnaya zadacha opredeleniya peremennogo pokazatelya proizvodnoi v uravnenii drobnoi diffuzii”, Sib. matem. zhurn., 64:4 (2023), 675–686  mathnet  crossref
    3. Jun-Liang Fu, Jijun Liu, “Recovery of a potential coefficient in a pseudoparabolic system from nonlocal observation”, Applied Numerical Mathematics, 184 (2023), 121  crossref
    4. A. N. Artyushin, “An Inverse Problem of Recovering the Variable Order of the Derivative in a Fractional Diffusion Equation”, Sib Math J, 64:4 (2023), 796  crossref
    5. V. L. Kamynin, “Ob obratnoi zadache opredeleniya zavisyaschego ot prostranstvennoi peremennoi mladshego koeffitsienta v parabolicheskom uravnenii so slabym vyrozhdeniem”, Materialy Voronezhskoi mezhdunarodnoi zimnei matematicheskoi shkoly «Sovremennye metody teorii funktsii  i smezhnye problemy», Voronezh, 28 yanvarya – 2 fevralya 2021 g.  Chast 1, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 206, VINITI RAN, M., 2022, 68–81  mathnet  crossref
    6. Ammar Khanfer, “Reconstructing the Potential of the Generalized Heat Equation”, J Nonlinear Math Phys, 29:4 (2022), 750  crossref
    7. Dandan Yang, Zhiwen Duan, “The inverse source problem of Cherenkov radiation model”, Applied Numerical Mathematics, 182 (2022), 42  crossref
    8. Alexander I. Kozhanov, Tatyana N. Shipina, “Inverse problems of finding the lowest coefficient in the elliptic equation”, Zhurn. SFU. Ser. Matem. i fiz., 14:4 (2021), 528–542  mathnet  crossref
    9. V. L. Kamynin, “Inverse problem of determining the absorption coefficient in a degenerate parabolic equation in the class L”, Comput. Math. Math. Phys., 61:3 (2021), 388–402  mathnet  crossref  crossref  isi  elib
    10. Jiaming Fan, Zhiwen Duan, “Determining a potential of the parabolic equation from partial boundary measurements *”, Inverse Problems, 37:9 (2021), 095001  crossref
    11. Petr N. Vabishchevich, “Computational identification of the lowest space-wise dependent coefficient of a parabolic equation”, Applied Mathematical Modelling, 65 (2019), 361  crossref
    12. D. Kh. Ivanov, P. N. Vabishchevich, Lecture Notes in Computer Science, 11386, Finite Difference Methods. Theory and Applications, 2019, 289  crossref
    13. Aliona I. Dreglea, Nikolay A. Sidorov, “Integral equations in identification of external force and heat source density dynamics”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2018, no. 3, 68–77  mathnet
    14. A. I. Dreglya, N. A. Sidorov, “Identifikatsiya dinamiki vneshnei sily pri modelirovanii kolebanii”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 19 (2017), 105–112  mathnet  crossref
    15. 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
    16. A. B. Kostin, “Criteria of the uniqueness of solutions and well-posedness of inverse source problems”, J. Math. Sci. (N. Y.), 230:6 (2018), 907–949  mathnet  mathnet  crossref  scopus
    17. D. K. Durdiev, “O edinstvennosti opredeleniya yadra integro-differentsialnogo uravneniya parabolicheskogo tipa”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 19:4 (2015), 658–666  mathnet  crossref  zmath  elib
    18. A. B. Kostin, “Recovery of the coefficient of ut in the heat equation from a condition of nonlocal observation in time”, Comput. Math. Math. Phys., 55:1 (2015), 85–100  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    19. T. I. Bukharova, V. L. Kamynin, “Inverse problem of determining the absorption coefficient in the multidimensional heat equation with unlimited minor coefficients”, Comput. Math. Math. Phys., 55:7 (2015), 1164–1176  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    20. V. L. Kamynin, “The Inverse Problem of Determining the Lower-Order Coefficient in Parabolic Equations with Integral Observation”, Math. Notes, 94:2 (2013), 205–213  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
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