Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperboloidal evolution and global dynamics for the focusing cubic wave
  equation   The focusing cubic wave equation in three spatial dimensions has the explicit
solution $\sqrt{2}/t$. We study the stability of the blowup described by this
solution as $t \to 0$ without symmetry restrictions on the data. Via the
conformal invariance of the equation we obtain a companion result for the
stability of slow decay in the framework of a hyperboloidal initial value
formulation. More precisely, we identify a codimension-1 Lipschitz manifold of
initial data leading to solutions which converge to Lorentz boosts of
$\sqrt{2}/t$ as $t\to\infty$. These global solutions thus exhibit a slow
nondispersive decay, in contrast to small data evolutions.

23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ