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Eurasian Mathematical Journal, 2010, Volume 1, Number 3, Pages 97–111
(Mi emj30)
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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
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
Citation:
A. G. Ramm, “Uniqueness of the solution to inverse scattering problem with backscattering data”, Eurasian Math. J., 1:3 (2010), 97–111
Linking options:
https://www.mathnet.ru/eng/emj30 https://www.mathnet.ru/eng/emj/v1/i3/p97
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Abstract page: | 297 | Full-text PDF : | 108 | References: | 48 |
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