Inverse scattering problems where the potential is not absolutely continuous on the known interior subinterval
Abstract
The inverse scattering problem for the Schrodinger 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 left (or right) reflection coefficient alone provided that the potential is known on a finite interval and it is not absolutely continuous on this known interval.
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