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Differentsial'nye Uravneniya, 1987, Volume 23, Number 10, Pages 1791–1799 (Mi de6338)  

This article is cited in 11 scientific papers (total in 11 papers)

Partial Differential Equations

Solvability theorems and the Rothe method in inverse problems for an equation of parabolic type. I

A. I. Prilepko, V. V. Solov'ev

Moscow Engineering Physics Institute
Received: 01.10.1985
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. I. Prilepko, V. V. Solov'ev, “Solvability theorems and the Rothe method in inverse problems for an equation of parabolic type. I”, Differ. Uravn., 23:10 (1987), 1791–1799
Citation in format AMSBIB
\Bibitem{PriSol87}
\by A.~I.~Prilepko, V.~V.~Solov'ev
\paper Solvability theorems and the Rothe method in inverse problems for an equation of parabolic type.~I
\jour Differ. Uravn.
\yr 1987
\vol 23
\issue 10
\pages 1791--1799
\mathnet{http://mi.mathnet.ru/de6338}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=928863}
Linking options:
  • https://www.mathnet.ru/eng/de6338
  • https://www.mathnet.ru/eng/de/v23/i10/p1791
    Cycle of papers
    This publication is cited in the following 11 articles:
    1. K. B. Sabitov, “Inverse problems of finding a source in the heat equation from a nonlocal observation”, J. Appl. Industr. Math., 18:3 (2024), 536–547  mathnet  crossref  crossref
    2. S. G. Pyatkov, “On inverse problems with pointwise overdetermination for mathematical models of heat and mass transfer”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 15:3 (2022), 34–50  mathnet  crossref
    3. K. B. Sabitov, A. R. Zainullov, “Inverse problems for a two-dimensional heat equation with unknown right-hand side”, Russian Math. (Iz. VUZ), 65:3 (2021), 75–88  mathnet  crossref  crossref  isi
    4. Sergey G. Pyatkov, Vladislav A. Baranchuk, “On some inverse parabolic problems with pointwise overdetermination”, Zhurn. SFU. Ser. Matem. i fiz., 14:4 (2021), 463–474  mathnet  crossref
    5. S. G. Pyatkov, “On evolutionary inverse problems for mathematical models of heat and mass transfer”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 14:1 (2021), 5–25  mathnet  crossref
    6. S. N. Sidorov, “Obratnye zadachi dlya uravneniya smeshannogo parabolo-giperbolicheskogo tipa s vyrozhdayuscheisya parabolicheskoi chastyu”, Sib. elektron. matem. izv., 16 (2019), 144–157  mathnet  crossref
    7. S. N. Sidorov, “Inverse problems for a degenerate mixed parabolic-hyperbolic equation on finding time-depending factors in right hand sides”, Ufa Math. J., 11:1 (2019), 75–89  mathnet  crossref  isi
    8. K. B. Sabitov, A. R. Zainullov, “Obratnye zadachi dlya uravneniya teploprovodnosti po otyskaniyu nachalnogo usloviya i pravoi chasti”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 161, no. 2, Izd-vo Kazanskogo un-ta, Kazan, 2019, 274–291  mathnet  crossref  elib
    9. S. G. Pyatkov, V. V. Rotko, “Inverse problems with pointwise overdetermination for some quasilinear parabolic systems”, Siberian Adv. Math., 30:2 (2020), 124–142  mathnet  crossref  crossref
    10. K. B. Sabitov, “Initial Boundary and Inverse Problems for the Inhomogeneous Equation of a Mixed Parabolic-Hyperbolic Equation”, Math. Notes, 102:3 (2017), 378–395  mathnet  crossref  crossref  mathscinet  isi  elib
    11. S. G. Pyatkov, V. V. Rotko, “Ob opredelenii funktsii istochnika v kvazilineinykh parabolicheskikh zadachakh s tochechnymi usloviyami pereopredeleniya”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 9:4 (2017), 19–26  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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