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

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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