Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the inverse scattering problem for radially-symmetric domains in two
  dimensions   In the present paper we describe a method for solving inverse problems for
the Helmholtz equation in radially-symmetric domains given multi-frequency
data. Our approach is based on the construction of suitable trace formulas
which relate the impedance of the total field at multiple frequencies to
derivatives of the potential. Using this trace formula we obtain a system of
coupled differential equations which can be solved to obtain the potential in a
stable manner. Finally, the performance of the reconstruction algorithm is
illustrated with several numerical examples.

5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys