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Inverse scattering in a layered medium. (English. Abridged French version) Zbl 0941.35134
Summary: We present a uniqueness theorem in inverse scattering at a fixed energy for the wave equation in a layered medium. We acommodate the Faddeev theory of inverse scattering using the calculus of commutators.

MSC:
35R50 PDEs of infinite order
35L05 Wave equation
47A40 Scattering theory of linear operators
81U40 Inverse scattering problems in quantum theory
35P25 Scattering theory for PDEs
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