Stability for the multi-dimensional Borg--Levinson theorem of the biharmonic operator
arXiv:2109.01497
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.
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