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arXiv · 2304.12614

Determination of first order perturbation for bi-harmonic operator by asymptotic boundary spectral data

Nesrine Aroua·Mourad Bellassoued
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Abstract

This article deals with the multidimensional Borg-Levinson theorem for perturbed bi-harmonic operator. More precisely, in a bounded smooth domain of $\R^n$, with $n \geq 2$, we prove the stability of the first and zero order coefficients of the bi-harmonic operator from some asymptotic behavior of the boundary spectral data of the corresponding bi-harmonic operator i.e., the Dirichlet eigenvalues and the Neumann trace on the boundary of the associated eigenfunctions.

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Nesrine Aroua, Mourad Bellassoued. 2023-04-25. Determination of first order perturbation for bi-harmonic operator by asymptotic boundary spectral data. https://arxiv.org/abs/2304.12614

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