A simple proof of a multidimensional Borg-Levinson type theorem

2019/12/06 by Choulli, Mourad
#35J10 #35R30 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1912.03055

Abstract

We provide a simple and short proof of a multidimensional Borg-Levinson type theorem. Precisely, we prove that the spectral boundary data determine uniquely the corresponding potential appearing in the Schödinger operator on an admissible Riemannian manifold. We also sketch the proof of the case of incomplete spectral boundary data.

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