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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2012, Volume 9, Pages 382–432 (Mi semr363)  
This article is cited in 11 scientific papers (total in 11 papers)

Differentical equations, dynamical systems and optimal control

Inversion of mapping and inverse problems

Yu. E. Anikonova, N. B. Aiupovaba, V. G. Bardakovba, V. P. Golubyatnikovab, M. V. Neshchadimab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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Abstract: We expose some selected results in finite-dimensional mapping theory and their connections with theory of inverse problems for evolution equations. We obtain new representations of solutions of multidimensional nonlinear evolution equations and those of their coefficients.
Keywords: inverse problems, evolution equations, ill-posed problems, representations of solutions, systems of differential equations, finite-dimensional mapping.
Received April 16, 2012, published August 26, 2012
Document Type: Article
UDC: 517.9
MSC: 35R30
Language: Russian
Citation: Yu. E. Anikonov, N. B. Aiupova, V. G. Bardakov, V. P. Golubyatnikov, M. V. Neshchadim, “Inversion of mapping and inverse problems”, Sib. Èlektron. Mat. Izv., 9 (2012), 382–432
Citation in format AMSBIB
\Bibitem{AniAyuBar12}
\by Yu.~E.~Anikonov, N.~B.~Aiupova, V.~G.~Bardakov, V.~P.~Golubyatnikov, M.~V.~Neshchadim
\paper Inversion of mapping and inverse problems
\jour Sib. \`Elektron. Mat. Izv.
\yr 2012
\vol 9
\pages 382--432
\mathnet{http://mi.mathnet.ru/semr363}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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