Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the lack of compactness and existence of maximizers for some
  Airy-Strichartz inequalities   This work is devoted to prove a linear profile decomposition for the Airy
equation in $\dot{H}_x^{s_k}(\mathbb{R})$, where $s_k=(k-4)/2k$ and $k>4$. We
also apply this decomposition to establish the existence of maximizers for a
general class of Strichartz type inequalities associated to the Airy equation.

10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs