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arXiv · 2109.01497

Stability for the multi-dimensional Borg--Levinson theorem of the biharmonic operator

Peijun Li·Xiaohua Yao·Yue Zhao
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Abstract

In this paper, we prove a conditional Hölder stability estimate for the inverse spectral problem of the biharmonic operator. The proof employs the resolvent estimate and a Weyl-type law for the biharmonic operator which were obtained by the authors in \cite{LYZ}. This work extends nontrivially the result in \cite{stefanov} from the second order Schrödinger operator to the fourth order biharmonic operator.

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Peijun Li, Xiaohua Yao, Yue Zhao. 2022-01-15. Stability for the multi-dimensional Borg--Levinson theorem of the biharmonic operator. https://arxiv.org/abs/2109.01497

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