Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $L^p$-$L^q$ decay estimates for dissipative linear hyperbolic systems in
  1D   Given $A,B\in M_n(\mathbb R)$, we consider the Cauchy problem for partially
dissipative hyperbolic systems having the form \begin{equation*}
  \partial_{t}u+A\partial_{x}u+Bu=0, \end{equation*} with the aim of providing
a detailed description of the large-time behavior. Sharp $L^p$-$L^q$ estimates
are established for the distance between the solution to the system and a
time-asymptotic profile, where the profile is the superposition of diffusion
waves and exponentially decaying waves.

17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg