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- W2070362020 abstract "A uniqueness proof for the inverse Sturm-Liouville problem on a bounded interval with a symmetric potential having two interior jump discontinuities is presented. The author derives several lemmas in order to complete this proof; the asymptotic form of the eigenvalues and eigenfunctions are determined, refined upper bounds for the eigenfunctions and their derivatives are established and a uniqueness proof for the jump constant a and discontinuity d is given. These results have not been presented elsewhere for this particular problem and are essential for developing an eigenfunction expansion in which the eigenfunctions may have jump discontinuities and to build an algorithm to reconstruct the potential function. The techniques the author uses follow those of Hald and Willis (1985)." @default.
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- W2070362020 title "A uniqueness proof for discontinuous inverse Sturm-Liouville problems with symmetric potentials" @default.
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- W2070362020 doi "https://doi.org/10.1088/0266-5611/5/5/007" @default.
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