Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse problems for two by two reaction-diffusion system using a
  Carleman estimate with one observation   For a two by two reaction-diffusion system on a bounded domain we give a
simultaneous stability result for one coefficient and for the initial
conditions. The key ingredient is a global Carleman-type estimate with a single
observation acting on a subdomain.

14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys