Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering for the Beam equation in low dimensions   In this paper, we prove scattering for the defocusing Beam equation
u_{tt}+D^2u+mu+ |u|^{p-1}u=0 in the energy space in low dimensions 1< n <5 for
p>1+8/n. The main difficulty is the absence of a Morawetz-type estimate and of
a Galilean transformation in order to be able to control the Momentum vector.
We overcome the former by using a strategy of Kenig and Merle derived from
concentration-compactness ideas, and the latter by considering a Virial-type
identity in the direction orthogonal to the Momentum vector.

23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas