Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Size estimates for the EIT problem with one measurement: the complex
  case   In this paper we estimate the size of a measurable inclusion in terms of
power measurements for a single applied boundary current. This problem arises
in medical imaging for the screening of organs. For this kind of problem one
has to deal mathematically with the complex conductivity (admittivity)
equation. In this case we are able to establish, for certain classes of
admittivities, lower and upper bounds of the measure of the inclusion in terms
of the power measurements. A novelty of our result is that we are able to
estimate also the volume of inclusions having part of its boundary in common
with the reference body. Our analysis is based on the derivation of energy
bounds and of fine quantitative estimates of unique continuation for solutions
to elliptic equations.

19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs