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Eurasian Mathematical Journal, 2010, Volume 1, Number 3, Pages 97–111 (Mi emj30)  

This article is cited in 5 scientific papers (total in 5 papers)

Uniqueness of the solution to inverse scattering problem with backscattering data

A. G. Ramm

Department of Mathematics Kansas State University, Manhattan, USA
Full-text PDF (390 kB) Citations (5)
References:
Abstract: Let $q(x)$ be real-valued compactly supported sufficiently smooth function. It is proved that the scattering data $A(-\beta,\beta,k)$ $\forall\beta\in S^2$, $\forall k>0$, determine $q$ uniquely.
Keywords and phrases: inverse scattering, non-overdetermined data, backscattering.
Received: 29.04.2010
Bibliographic databases:
Document Type: Article
MSC: 35P25, 35R30, 81Q05
Language: English
Citation: A. G. Ramm, “Uniqueness of the solution to inverse scattering problem with backscattering data”, Eurasian Math. J., 1:3 (2010), 97–111
Citation in format AMSBIB
\Bibitem{Ram10}
\by A.~G.~Ramm
\paper Uniqueness of the solution to inverse scattering problem with backscattering data
\jour Eurasian Math. J.
\yr 2010
\vol 1
\issue 3
\pages 97--111
\mathnet{http://mi.mathnet.ru/emj30}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2904768}
\zmath{https://zbmath.org/?q=an:1219.35161}
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  • https://www.mathnet.ru/eng/emj/v1/i3/p97
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Eurasian Mathematical Journal
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