Uniqueness of the solution to inverse scattering problem with backscattering data

preprint2010arXivOpen access

Abstract

Let q(x)q(x) be real-valued compactly supported sufficiently smooth function. It is proved that the scattering data A(−β,β,k)A(-β,β,k) ∀β∈S2\forall β\in S^2, ∀k>0,\forall k>0, determine qq uniquely.

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