We start to discuss some aspects of the scattering theory for the Sturm–Liouville operator L:1y[-D2+q]. In particular, we pose and solve the problem of reconstructing the function q when y is fixed and when a set S of scattering data is given. In the meanwhile, several relations concerning the spectral properties of L and the solutions of the related eigenvalue equation are established.
Some Remarks Concerning the Scattering Theory for the Sturm–Liouville Operator
Zampogni L.
2022
Abstract
We start to discuss some aspects of the scattering theory for the Sturm–Liouville operator L:1y[-D2+q]. In particular, we pose and solve the problem of reconstructing the function q when y is fixed and when a set S of scattering data is given. In the meanwhile, several relations concerning the spectral properties of L and the solutions of the related eigenvalue equation are established.File in questo prodotto:
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