Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exponential stabilization of the semilinear heat equation with nonlocal
  boundary conditions   The present work is devoted to the problem of boundary stabilization of the
semilinear 1-D heat equation with nonlocal boundary conditions. The stabilizing
controller is finite-dimensional, linear, given in an explicit form, involving
only the eigenfunctions of the Laplace operator with nonlocal boundary
conditions.

8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph