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Siberian Journal of Pure and Applied Mathematics, 2017, Volume 17, Issue 3, Pages 8–16
DOI: https://doi.org/10.17377/PAM.2017.17.1 (Mi vngu442) 		 
Operator formulae in the inverse problems for evolution equations

N. L. Abasheevaab, Yu. E. Anikonovab

a Sobolev Institute of Mathematics SB RAS, 4, Akad. Koptyuga pr., Novosibirsk 630090, Russia
b Novosibirsk State University, 1, Pirogova St., Novosibirsk 630090, Russia
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DOI: https://doi.org/10.17377/PAM.2017.17.1
Abstract: In the article it is given the general representations of the solutions of inverse problems for evolution equations. We obtain the equations of the second kind related to the construction of special solutions of nonlinear equations generated by the mappings of Euclidean spaces.
Keywords: inverse problems, operator formulae, evolution equations.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-06582_а
Russian Academy of Sciences - Federal Agency for Scientific Organizations 0314-2015-0010
The work is supported by the Russian Foundation for Basic Research (project No. 15-01-06582) and the program “Computer tomography of inhomogeneous anisotropic media” of the Presidium of the Russian Academy of Sciences (project No. 0314-2015-0010).
Received: 17.11.2016
English version:
Journal of Mathematical Sciences, 2019, Volume 237, Issue 4, Pages 501–510
DOI: https://doi.org/10.1007/s10958-019-04176-2
Document Type: Article
UDC: 517.9
Language: Russian
Citation: N. L. Abasheeva, Yu. E. Anikonov, “Operator formulae in the inverse problems for evolution equations”, Sib. J. Pure and Appl. Math., 17:3 (2017), 8–16; J. Math. Sci., 237:4 (2019), 501–510
Citation in format AMSBIB
\Bibitem{AbaAni17}
\by N.~L.~Abasheeva, Yu.~E.~Anikonov
\paper Operator formulae in the inverse problems for evolution equations
\jour Sib. J. Pure and Appl. Math.
\yr 2017
\vol 17
\issue 3
\pages 8--16
\mathnet{http://mi.mathnet.ru/vngu442}
\crossref{https://doi.org/10.17377/PAM.2017.17.1}
\transl
\jour J. Math. Sci.
\yr 2019
\vol 237
\issue 4
\pages 501--510
\crossref{https://doi.org/10.1007/s10958-019-04176-2}
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