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1. Identification of unbounded electric potentials through asymptotic boundary spectral data

Author

Bellassoued, Mourad, Kian, Yavar, Mannoubi, Yosra, and Soccorsi, Éric

Abstract

We prove that the real-valued electric potential q∈Lmax(2,3n/5)(Ω)of the Dirichlet Laplacian -Δ+qacting in a bounded domain Ω⊂Rn, n≥3, is uniquely determined by the asymptotics of the eigenpairs formed by the eigenvalues and the boundary observation of the normal derivative of the eigenfunctions.

Published
2024
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