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Ural Mathematical Journal, 2015, Volume 1, Issue 1, Pages 87–92
DOI: https://doi.org/10.15826/umj.2015.1.009 (Mi umj9) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On an estimate for the modulus of continuity of a nonlinear inverse problem

Elena V. Tabarintseva

South Ural State University, Chelyabinsk, Russia
Full-text PDF (128 kB) Citations (3)
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DOI: https://doi.org/10.15826/umj.2015.1.009
Abstract: A reverse time problem is considered for a semi-linear parabolic equation. Two-sided estimates are obtained for the norms of values of a nonlinear operator in terms of the norms of values of the corresponding linear operator. As a consequence, two-sided estimates are established for the modulus of continuity of a semi-linear inverse problem in terms of the modulus of continuity of the corresponding linear problem.
Keywords: Parabolic equation, Inverse problem, Modulus of continuity of the inverse operator, Approximate method, Error estimate.
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Document Type: Article
Language: English
Citation: Elena V. Tabarintseva, “On an estimate for the modulus of continuity of a nonlinear inverse problem”, Ural Math. J., 1:1 (2015), 87–92
Citation in format AMSBIB
\Bibitem{Tab15}
\by Elena~V.~Tabarintseva
\paper On an estimate for the modulus of continuity of a nonlinear inverse problem
\jour Ural Math. J.
\yr 2015
\vol 1
\issue 1
\pages 87--92
\mathnet{http://mi.mathnet.ru/umj9}
\crossref{https://doi.org/10.15826/umj.2015.1.009}
\zmath{https://zbmath.org/?q=an:1398.65120}
\elib{https://elibrary.ru/item.asp?id=25613599}
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  • https://www.mathnet.ru/eng/umj/v1/i1/p87
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    This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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