This article is cited 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.

MSC: 35P25, 35R30, 81Q05

Received: 29.04.2010

Language: English

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