Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spacetime integral bounds for the energy-critical nonlinear wave
  equation   In this paper we prove a global spacetime bound for the quintic, nonlinear
wave equation in three dimensions. This bound depends on the $L_{t}^{\infty}
L_{x}^{2}$ and $L_{t}^{\infty} \dot{H}^{2}$ norms of the solution to the
quintic problem.

34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th