Siberian Journal of Pure and Applied Mathematics
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Siberian Journal of Pure and Applied Mathematics, 2017, Volume 17, Issue 1, Pages 3–16
DOI: https://doi.org/10.17377/PAM.2017.17.101 (Mi vngu426) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Ray expansions and identities for the second order equations with applications to inverse problems

Yu. E. Anikonovab, N. B. Ayupovaab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (141 kB) Citations (3)
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DOI: https://doi.org/10.17377/PAM.2017.17.101
Abstract: We develop a new method of investigation of inverse problems of mathematical physics which is based on the systems of equations of ray expansion of solutions to parabolic and hyperbolic equations with variable coefficients.
Keywords: ray expansion, inverse problems, particular solution, parabolic equations, hyperbolic equations.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 0314-2015-0010
Russian Foundation for Basic Research 15-01-00745_а
Received: 18.05.2016
English version:
Journal of Mathematical Sciences, 2018, Volume 231, Issue 2, Pages 111–123
DOI: https://doi.org/10.1007/s10958-018-3809-x
Document Type: Article
UDC: 517.9
Language: Russian
Citation: Yu. E. Anikonov, N. B. Ayupova, “Ray expansions and identities for the second order equations with applications to inverse problems”, Sib. J. Pure and Appl. Math., 17:1 (2017), 3–16; J. Math. Sci., 231:2 (2018), 111–123
Citation in format AMSBIB
\Bibitem{AniAyu17}
\by Yu.~E.~Anikonov, N.~B.~Ayupova
\paper Ray expansions and identities for the second order equations with applications to inverse problems
\jour Sib. J. Pure and Appl. Math.
\yr 2017
\vol 17
\issue 1
\pages 3--16
\mathnet{http://mi.mathnet.ru/vngu426}
\crossref{https://doi.org/10.17377/PAM.2017.17.101}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 231
\issue 2
\pages 111--123
\crossref{https://doi.org/10.1007/s10958-018-3809-x}
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