Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability for the multi-dimensional Borg--Levinson theorem of the
  biharmonic operator   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.

21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat