Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low frequency estimates and local energy decay for asymptotically
  euclidean Laplacians   For Laplace-Beltrami operators associated to metrics which are long range
perturbations of the flat one, we prove estimates for powers of the resolvent
as the spectral parameter goes to zero. We also discuss applications to the
local energy decay for the Schroedinger, Wave and Klein Gordon equations.

12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom