Uniqueness of the solution to inverse scattering problem with backscattering data

Physics – Mathematical Physics

Scientific paper

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Scientific paper

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.

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