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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/timm919
  • https://www.mathnet.ru/eng/timm/v19/i1/p253
    Translation
    This publication is cited in the following 6 articles:
    1. Tabarintseva E., “Approximate Solving of An Inverse Problem For a Parabolic Equation With Nonlocal Data”, 2019 15Th International Asian School-Seminar Optimization Problems of Complex Systems (Opcs 2019), IEEE, 2019, 173–178  crossref  isi
    2. E. V. Tabarintseva, “On the estimate of accuracy of the auxiliary boundary conditions method for solving a boundary value inverse problem for a nonlinear equation”, Num. Anal. Appl., 11:3 (2018), 236–255  mathnet  crossref  crossref  isi  elib  elib
    3. E. V. Tabarintseva, “O reshenii odnoi obratnoi zadachi dlya nelineinogo differentsialnogo uravneniya v klasse kusochno-gladkikh funktsii”, Sib. elektron. matem. izv., 14 (2017), 199–209  mathnet  crossref
    4. E. V. Tabarintseva, “O reshenii nekorrektno postavlennoi zadachi dlya nelineinogo differentsialnogo uravneniya”, Tr. IMM UrO RAN, 21, no. 1, 2015, 231–237  mathnet  mathscinet  elib
    5. E. V. Tabarintseva, “Ob otsenke pogreshnosti metoda priblizhennogo resheniya obratnoi zadachi dlya polulineinogo differentsialnogo uravneniya”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 6:3 (2013), 85–94  mathnet
    6. E. V. Tabarintseva, “O reshenii nekorrektno postavlennoi zadachi dlya nelineinogo differentsialnogo uravneniya metodom proektsionnoi regulyarizatsii”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 5:2 (2013), 65–71  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
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