Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence theory for the Boussinesq equation in Modulation spaces   In this paper we study the Cauchy problem for the generalized Boussinesq
equation with initial data in modulation spaces
$M^{s}_{p^\prime,q}(\mathbb{R}^n),$ $n\geq 1.$ After a decomposition of the
Boussinesq equation in a $2\times 2$-nonlinear system, we obtain the existence
of global and local solutions in several classes of functions with values in $
M^s_{p,q}\times D^{-1}JM^s_{p,q}$ spaces for suitable $p,q$ and $s,$ including
the special case $p=2,q=1$ and $s=0.$ Finally, we prove some results of
scattering and asymptotic stability in the framework of modulation spaces.

1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat