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Reconstruction of a two-dimensional Schrödinger operator from the scattering amplitude for fixed energy. (English. Russian original) Zbl 0637.35067
Funct. Anal. Appl. 20, 246-248 (1986); translation from Funkts. Anal. Prilozh. 20, No. 3, 90-91 (1986).
The work is dedicated to the inverse problem of the scattering theory for two-dimensional Schrödinger operators with exponentially decaying potential having a sufficiently small norm with respect to the given energy level. It is proved that such a potential can be reconstructed with respect to the scattering amplitude for the given energy level.
Reviewer: G.Derfel

35P25 Scattering theory for PDEs
35R30 Inverse problems for PDEs
35J10 Schrödinger operator, Schrödinger equation
47A40 Scattering theory of linear operators
Full Text: DOI
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