Geodesic
Inverse scattering problem on a noncompact graph
Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 2, pp. 187-200 
N. I. Gerasimenko. Inverse scattering problem on a noncompact graph. Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 2, pp. 187-200. http://geodesic.mathdoc.fr/item/TMF_1988_75_2_a2/
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     author = {N. I. Gerasimenko},
     title = {Inverse scattering problem on a~noncompact graph},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A procedure, which reduces to solution of a matrix Riemann problem, is proposed for recovering the potential in the Schrödinger equation on a noncompact graph from the scattering data.

[1] Gerasimenko N. I., Pavlov B. S., TMF, 74:3 (1988), 345–359 | MR | Zbl

[2] Faddeev L. D., Tr. MIAN, 73, 1964, 314–336 | MR | Zbl

[3] Zakharov V. E., Manakov S. V., Novikov S. P., Pitaevskii L. P., Teoriya solitonov: Metod obratnoi zadachi, Nauka, M., 1980 | MR

[4] Levitan B. M., Obratnye zadachi Shturma–Liuvillya, Nauka, M., 1984 | MR

[5] Pavlov B. S., Faddeev M. D., TMF, 55:2 (1983), 257–268 | MR