Multidimensional Borg-Levinson inverse spectral problems with unbounded potentials

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.