Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Logarithmic stability inequality in an inverse source problem for the
  heat equation on a waveguide   We prove logarithmic stability in the parabolic inverse problem of
determining the space-varying factor in the source, by a single partial
boundary measurement of the solution to the heat equation in an infinite closed
waveguide, with homogeneous initial and Dirichlet data.

32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th