Multidimensional Borg-Levinson inverse spectral problems with unbounded potentials

Université de Tunis El Manar, Ecole National d'Ingénieurs de Tunis

Date(s) : 19/10/2021   iCal
11 h 00 min - 12 h 00 min

This work deals with the multidimensional Borg-Levinson theorem of determining an unbounded electric potential appearing in a Schrodinger equation on a bounded domain, using some asymptotic knowledge of the boundary spectral data. More precisely, we show that if the non-decreasing sequence of eigenvalues and Neumann boundary data of the associated eigenfunctions of our operator are known asymptotically, then we determine the unbounded potential.

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