Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solutions of quasi-linear wave equations polyhomogeneous at null
  infinity in high dimensions   We prove propagation of weighted Sobolev regularity for solutions of the
hyperboloidal Cauchy problem for a class of quasi-linear symmetric hyperbolic
systems, under structure conditions compatible with the Einstein-Maxwell
equations in space-time dimensions $n+1\ge 7$. Similarly we prove propagation
of polyhomogeneity in dimensions $n+1\ge 9$. As a byproduct we obtain, in those
last dimensions, polyhomogeneity at null infinity of small data solutions of
vacuum Einstein, or Einstein-Maxwell equations evolving out of initial data
which are stationary outside of a ball.

16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
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The categories of this paper are: econ
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs