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arXiv · 0910.5731

Uniqueness theorem for inverse scattering problem with non-overdetermined data

A. G. Ramm
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Abstract

Let $q(x)$ be real-valued compactly supported sufficiently smooth function, $q\in H^\ell_0(B_a)$, $B_a:=\{x: |x|\leq a, x\in R^3$ . It is proved that the scattering data $A(-β,β,k)$ $\forall β\in S^2$, $\forall k>0$ determine $q$ uniquely. here $A(β,α,k)$ is the scattering amplitude, corresponding to the potential $q$.

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A. G. Ramm. 2009-10-29. Uniqueness theorem for inverse scattering problem with non-overdetermined data. https://doi.org/10.1088/1751-8113%2F43%2F11%2F112001

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