Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wave packet parametrices for evolutions governed by PDO's with rough
  symbols   In this note, we consider wave packet parametrices for Schrodinger-like
evolution equations. Under an integrability condition along the flow, we prove
that the flow is then globally well-defined and bilipschitz. Under an
additional smallness assumption, we prove that the kernel of the phase space
operator decays rapidly away from the graph of the Hamilton flow. This can be
used to prove that smoothness is preserved for finite times by the flow of the
equation.

18
The categories of this paper are: econ
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics