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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 239, Pages 236–242 (Mi znsl460)  
This article is cited in 10 scientific papers (total in 10 papers)

Inverse problem on determining a source in the stationary transport equation on a Riemannian manifold

V. A. Sharafutdinov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (157 kB) Citations (10)
Abstract: On a compact Riemannian manifold the transport equation with unknown right-hand side is given. The right-hand side of the equation is recovered by values of the outcoming flow. Assumptions are formulated under which the uniqueness of a solution to the inverse problem is proved.
Received: 10.10.1995
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 96, Issue 4, Pages 3430–MMMCXXXIII
DOI: https://doi.org/10.1007/BF02172822
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: V. A. Sharafutdinov, “Inverse problem on determining a source in the stationary transport equation on a Riemannian manifold”, Mathematical problems in the theory of wave propagation. Part 26, Zap. Nauchn. Sem. POMI, 239, POMI, St. Petersburg, 1997, 236–242; J. Math. Sci. (New York), 96:4 (1999), 3430–MMMCXXXIII
Citation in format AMSBIB
\Bibitem{Sha97}
\by V.~A.~Sharafutdinov
\paper Inverse problem on determining a source in the stationary transport equation on a Riemannian manifold
\inbook Mathematical problems in the theory of wave propagation. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 239
\pages 236--242
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl460}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1700653}
\zmath{https://zbmath.org/?q=an:0935.58013}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 96
\issue 4
\pages 3430--MMMCXXXIII
\crossref{https://doi.org/10.1007/BF02172822}
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  • https://www.mathnet.ru/eng/znsl/v239/p236
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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