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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 829–848
DOI: https://doi.org/10.17377/semi.2016.13.066 (Mi semr716) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Real, complex and functional analysis

Research of a threshold (correlation) method and application for localization of singularities

D. V. Kurlikovskii, A. L. Ageev, T. V. Antonova

Institute of Mathematics and Mechanics, ul. S. Kovalevskoi, 16, 620990, Ekaterinburg, Russia
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DOI: https://doi.org/10.17377/semi.2016.13.066
Abstract: The localization of singularities for functions of one ($\delta$-functions and discontinuities of the first kind) and two (line of discontinuity) dimensions is discussed. General scheme of the study of this ill-posed problems is presented. Using this scheme new problems of localization of singularities are investigated.
Keywords: ill-posed problems, discontinuities of the first kind, line of discontinuity, localization of singularities, regularizing method, separation threshold.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-00629_а
Ural Branch of the Russian Academy of Sciences 15-16-1-14
Received December 29, 2015, published October 7, 2016
Bibliographic databases:
Document Type: Article
UDC: 517.988.68
MSC: 65J20
Language: Russian
Citation: D. V. Kurlikovskii, A. L. Ageev, T. V. Antonova, “Research of a threshold (correlation) method and application for localization of singularities”, Sib. Èlektron. Mat. Izv., 13 (2016), 829–848
Citation in format AMSBIB
\Bibitem{KurAgeAnt16}
\by D.~V.~Kurlikovskii, A.~L.~Ageev, T.~V.~Antonova
\paper Research of a threshold (correlation) method and application for localization of singularities
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 829--848
\mathnet{http://mi.mathnet.ru/semr716}
\crossref{https://doi.org/10.17377/semi.2016.13.066}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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