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Some mathematical problems in inverse potential scattering. (English) Zbl 0648.35065
Sémin., Équations Dériv. Partielles 1986-1987, Exp. No. 20, 6 p. (1987).
The Schrödinger operator \(H_ v=-\Delta +v(x)\) in odd dimensions is considered. Precise information about intertwining operators for the pair \(H_ v,H_ 0\), i.e. \(AH_ 0=H_ vA\) is obtained. This technical result is used to extend to higher (odd) dimensions and small potentials, the author’s approach to inverse scattering in one dimension. There are no proofs.
Reviewer: G.Nencin
35P25 Scattering theory for PDEs
35J10 Schrödinger operator, Schrödinger equation
35R30 Inverse problems for PDEs
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