Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-scattering energies for acoustic-type equations on manifolds with a
  single flat end   In this paper, we consider the scattering theory for acoustic-type equations
on non-compact manifolds with a single flat end. Our main purpose is to show an
existence result of non-scattering energies. Precisely, we show a Weyl-type
lower bound for the number of non-scattering energies. Usually a scattered wave
occurs for every incident wave by the inhomogeneity of the media. However,
there may exist suitable wavenumbers and patterns of incident waves such that
the corresponding scattered wave vanishes. We call (the square of) this
wavenumber a non-scattering energy in this paper. The problem of non-scattering
energies can be reduced to a well-known interior transmission eigenvalues
problem.

34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol