Uniqueness theorem for inverse scattering problem with non-overdetermined data
Abstract
Let q(x) be real-valued compactly supported sufficiently smooth function, q∈ H0(Ba), Ba:=\x: |x|≤ a, x∈ R3 . It is proved that the scattering data A(-β,β,k) ∀ β∈ S2, ∀ k>0 determine q uniquely. here A(β,α,k) is the scattering amplitude, corresponding to the potential q.
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