Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of eigenvalues of a linear operator pencil in a curved
  waveguide -- localized shelf waves on a curved coast   The study of the possibility of existence of the non-propagating, trapped
continental shelf waves (CSWs)along curved coasts reduces mathematically to a
spectral problem for a self-adjoint operator pencil in a curved strip. Using
the methods developed in the setting of the waveguide trapped mode problem, we
show that such CSWs exist for a wide class of coast curvature and depth
profiles.

24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs