Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform stabilization for the Klein-Gordon system in a inhomogeneous
  medium with locally distributed damping   We consider the Klein-Gordon system posed in an inhomogeneous medium with
smooth boundary subject to a local viscoelastic damping distributed around a
neighborhoodof the boundary according to the Geometric Control Condition. We
show that the energy of the system goes uniformly and exponentially to zero for
all initial data of finite energy taken in bounded sets of finite energy
phase-space. For this purpose, refined microlocal analysis arguments are
considered by exploiting ideas due to Burq and Gerard . By using sharp Carleman
estimates we prove a unique continuation property for coupled systems.

23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio