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Mathematics of the USSR-Sbornik, 1990, Volume 67, Issue 1, Pages 23–42
DOI: https://doi.org/10.1070/SM1990v067n01ABEH001185 (Mi sm1622) 		 
This article is cited in 30 scientific papers (total in 30 papers)

Wave bases in multidimensional inverse problems

M. I. Belishev
English version PDF (1075 kB) Citations (30) Russian version article
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DOI: https://doi.org/10.1070/SM1990v067n01ABEH001185
Abstract: The author gives a detailed account of an approach to multidimensional inverse problems that utilizes ideas and results of the theory of boundary control (J.-L. Lions, D. L. Russell, and others). Within the bounds of a single scheme, formulations of two types are considered: spectral and time-dependent. Multidimensional analogs to the classical Gel'fand–Levitan equations are derived. The potential of the approach and some ideas on numerical realization are discussed.
Bibliography: 15 titles.
Received: 21.09.1987
Bibliographic databases:
UDC: 517.9
MSC: Primary 35L05, 35R30; Secondary 93C20, 93B05
Language: English
Original paper language: Russian
Citation: M. I. Belishev, “Wave bases in multidimensional inverse problems”, Math. USSR-Sb., 67:1 (1990), 23–42
Citation in format AMSBIB
\Bibitem{Bel89}
\by M.~I.~Belishev
\paper Wave bases in multidimensional inverse problems
\jour Math. USSR-Sb.
\yr 1990
\vol 67
\issue 1
\pages 23--42
\mathnet{http://mi.mathnet.ru//eng/sm1622}
\crossref{https://doi.org/10.1070/SM1990v067n01ABEH001185}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1007464}
\zmath{https://zbmath.org/?q=an:0698.35164}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990ED88000002}
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    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1989–1990 Sbornik: Mathematics
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    Abstract page:446
    Russian version PDF:152
    English version PDF:12
    References:58
    First page:1
     
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