Geodesic
Inverse scattering problem on a~noncompact graph
Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 2, pp. 187-200

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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. 
@article{TMF_1988_75_2_a2,
     author = {N. I. Gerasimenko},
     title = {Inverse scattering problem on a~noncompact graph},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {187--200},
     publisher = {mathdoc},
     volume = {75},
     number = {2},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_75_2_a2/}
}
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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/