Uniqueness theorem for inverse scattering problem with non-overdetermined data
Ramm, A. G.
Original · EN
Let q(x) be real-valued compactly supported sufficiently smooth function, q∈ Hℓ₀(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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