Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable Determination of the Discontinuous Conductivity Coefficient of a
  Parabolic Equation   We deal with the problem of determining a time varying inclusion within a
thermal conductor. In particular we study the continuous dependance of the
inclusion from the Dirichlet-to-Neumann map. Under a priori regularity
assumptions on the unknown defect we establish logarithmic stability estimates.

29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat