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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 1, Pages 253–257 (Mi timm919)  
This article is cited in 6 scientific papers (total in 6 papers)

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

I. V. Tabarintseva

South Ural State University
Full-text PDF (123 kB) Citations (6)
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Abstract: A reverse time problem is considered for a semilinear 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 semilinear 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, error estimate.
Received: 12.12.2011
Bibliographic databases:
Document Type: Article
UDC: 517.948
Language: Russian
Citation: I. V. Tabarintseva, “On an estimate for the modulus of continuity of a nonlinear inverse problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 1, 2013, 253–257
Citation in format AMSBIB
\Bibitem{Tab13}
\by I.~V.~Tabarintseva
\paper On an estimate for the modulus of continuity of a~nonlinear inverse problem
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 1
\pages 253--257
\mathnet{http://mi.mathnet.ru/timm919}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3409362}
\elib{https://elibrary.ru/item.asp?id=18839284}
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  • https://www.mathnet.ru/eng/timm/v19/i1/p253
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    This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    References:61
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