Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On boundary controllability and stabilizability of the 1D wave equation
  in non-cylindrical domain   In this paper, we deal with the boundary controllability and boundary
stabilizability of the 1D wave equation in non-cylindrical domain of the form
($\alpha (t)<x<\beta (t)$). By using the characteristics method, we prove under
a natural assumption on the boundary functions that the 1D wave equation is
controllable and stabilizable from one side of the boundary. Furthermore, the
control function and the decay rate of solution are given explicitly

19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg