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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 133, Pages 3–80 (Mi into190)  
This article is cited in 9 scientific papers (total in 9 papers)

On approximation of coefficient inverse problems for differential equations in functional spaces

D. G. Orlovskya, S. I. Piskarevb

a National Engineering Physics Institute "MEPhI", Moscow
b Lomonosov Moscow State University
Full-text PDF (845 kB) Citations (9) English version article
Abstract: This paper is devoted to the theory of approximation of coefficient inverse problems for differential equations of parabolic, elliptic, and hyperbolic types in functional spaces. We present general statements of problems and their approximations and review results obtained earlier in the literature.
Keywords: abstract differential equation, abstract hyperbolic problem, abstract elliptic problem, abstract parabolic problem, $C_0$-semigroup, Banach space, semidiscretization, inverse overdetermined problem, finite-difference scheme, discrete semigroup.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00096_a
15-01-00026_a
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 230, Issue 6, Pages 823–906
DOI: https://doi.org/10.1007/s10958-018-3798-9
Bibliographic databases:
Document Type: Article
UDC: 517.956.46, 517.956.27, 517.956.37
MSC: 35Nxx, 65Jxx, 65Nxx, 35Jxx, 47Dxx
Language: Russian
Citation: D. G. Orlovsky, S. I. Piskarev, “On approximation of coefficient inverse problems for differential equations in functional spaces”, Functional analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 133, VINITI, Moscow, 2017, 3–80; J. Math. Sci. (N. Y.), 230:6 (2018), 823–906
Citation in format AMSBIB
\Bibitem{OrlPis17}
\by D.~G.~Orlovsky, S.~I.~Piskarev
\paper On approximation of coefficient inverse problems for differential equations in functional spaces
\inbook Functional analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 133
\pages 3--80
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into190}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3799503}
\zmath{https://zbmath.org/?q=an:06897373}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 230
\issue 6
\pages 823--906
\crossref{https://doi.org/10.1007/s10958-018-3798-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85045035038}
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  • https://www.mathnet.ru/eng/into190
  • https://www.mathnet.ru/eng/into/v133/p3
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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    Abstract page:464
    Full-text PDF :369
    References:3
    First page:52
     
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