Stability for the multi-dimensional Borg--Levinson theorem of the biharmonic operator
Analysis of PDEs
2022-01-19 v2
Abstract
In this paper, we prove a conditional H\"older 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 Schr\"{o}dinger operator to the fourth order biharmonic operator.
Keywords
Cite
@article{arxiv.2109.01497,
title = {Stability for the multi-dimensional Borg--Levinson theorem of the biharmonic operator},
author = {Peijun Li and Xiaohua Yao and Yue Zhao},
journal= {arXiv preprint arXiv:2109.01497},
year = {2022}
}
Comments
A detailed comparison is made with reference [8]; The structures of the proofs are improved; The presentation of the work including the introduction is modified; More relevant references are added