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.
Uniqueness theorem for inverse scattering problem with non-overdetermined data
Uniqueness of the solution to inverse scattering problem with scattering data at a fixed direction of the incident wave
Inverse Scattering Problem for the Schrödinger Operator with a Separable Potential
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