Stability of determining a Dirichlet-Laplace-Beltrami operator from its boundary spectral data

2023/11/30 by Mourad Choulli, Masahiro Yamamoto, Choulli, Mourad +1
Mathematics · #Differential Equations and Boundary Problems #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2311.18642

Abstract

We establish stability inequalities for the problem of determining a Dirichlet-Laplace-Beltrami operator from its boundary spectral data. We study the case of complete spectral data as well as the case of partial spectral data.

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