Geodesic
Inverse scattering problems with the potential known on an interior subinterval
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 15 (2019) no. 2, pp. 225-238 Cet article a éte moissonné depuis la source Math-Net.Ru

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The inverse scattering problem for one-dimensional Schrödinger operators on the line is considered when the potential is real valued and integrable and has a finite first moment. It is shown that the potential on the line is uniquely determined by the mixed scattering data consisting of the scattering matrix, known potential on a finite interval, and one nodal point on the known interval for each eigenfunction. 
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Yongxia Guo; Guangsheng Wei. Inverse scattering problems with the potential known on an interior subinterval. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 15 (2019) no. 2, pp. 225-238. http://geodesic.mathdoc.fr/item/JMAG_2019_15_2_a4/

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