Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universality of the blow-up profile for small type II blow-up solutions
  of energy-critical wave equation: the non-radial case   Following our previous paper in the radial case, we consider blow-up type II
solutions to the energy-critical focusing wave equation. Let W be the unique
radial positive stationary solution of the equation. Up to the symmetries of
the equation, under an appropriate smallness assumption, any type II blow-up
solution is asymptotically a regular solution plus a rescaled Lorentz transform
of W concentrating at the origin.

24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat