Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reconstruction of a source domain from the Cauchy data: II. Three
  dimensional case   This paper is concerned with reconstruction issue of some typical inverse
problems and consists of three parts. First a framework of the enclosure method
for an inverse source problem governed by the Helmholtz equation at a fixed
wave number in three dimensions is introduced. It is based on the nonvanishing
of the coefficient of the leading profile of an oscillatory integral over a
domain having a conical singularity. Second an explicit formula of the
coefficient for a domain having a circular cone singularity and its implication
under the framework are given. Third, an application under the framework to an
inverse obstacle problem governed by an inhomogeneous Helmholtz equation at a
fixed wave number in three dimensions is given.

32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
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
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol