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Sibirskii Matematicheskii Zhurnal, 2001, Volume 42, Number 5, Pages 1094–1105 (Mi smj1407)  
This article is cited in 9 scientific papers (total in 9 papers)

Mathematical problems of tomography and hyperbolic mappings

M. M. Lavrent'ev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (193 kB) Citations (9)
Abstract: We consider a new class of mathematical problems related to interpretation of tomography data. The main assumption is that the sought distribution of absorption is an identically one function in the domain to be determined. These problems are connected with three known directions of mathematical physics: the Dirichlet problems for hyperbolic equations, the problems of small oscillations of a rotating fluid, and the problems of supersonic flows of an ideal gas.
Received: 18.04.2001
English version:
Siberian Mathematical Journal, 2001, Volume 42, Issue 5, Pages 916–925
DOI: https://doi.org/10.1023/A:1011915727315
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: M. M. Lavrent'ev, “Mathematical problems of tomography and hyperbolic mappings”, Sibirsk. Mat. Zh., 42:5 (2001), 1094–1105; Siberian Math. J., 42:5 (2001), 916–925
Citation in format AMSBIB
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\by M.~M.~Lavrent'ev
\paper Mathematical problems of tomography and hyperbolic mappings
\jour Sibirsk. Mat. Zh.
\yr 2001
\vol 42
\issue 5
\pages 1094--1105
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1861636}
\zmath{https://zbmath.org/?q=an:0991.35029}
\transl
\jour Siberian Math. J.
\yr 2001
\vol 42
\issue 5
\pages 916--925
\crossref{https://doi.org/10.1023/A:1011915727315}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000172156900010}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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