A Borg-Levinson theorem for higher order elliptic operators

TL;DR

This paper extends the Borg-Levinson theorem to higher order elliptic operators with constant coefficients, including scenarios with incomplete spectral data, advancing inverse spectral problem theory.

Contribution

It generalizes the Borg-Levinson theorem to higher order elliptic operators and addresses cases with incomplete spectral data.

Findings

Proved Borg-Levinson theorem for higher order elliptic operators

Extended results to cases with incomplete spectral data

Enhanced understanding of inverse spectral problems for complex operators

Abstract

We establish the Borg-Levinson theorem for elliptic operators of higher order with constant coefficients. The case of incomplete spectral data is also considered.