Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global existence and decay estimates for quasilinear wave equations with
  nonuniform dissipative term   We study global existence and decay estimates for quasilinear wave equations
with dissipative terms in the Sobolev space $H^L \times H^{L-1}$, where $L \geq
[d/2]+3$. The linear dissipative terms depend on space variable coefficient,
and these terms may vanish in some compact region. For the proof of global
existence, we need estimates of higher order energies. To control derivatives
of the dissipative coefficient, we introduce an argument using the rescaling.
Furthermore we get the decay estimates with additional assumptions on the
initial data. To obtain the decay estimates, the rescaling argument is also
needed.

27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc