Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solving the Loewner PDE in complete hyperbolic starlike domains of
  $\C^N$   We prove that any Loewner PDE in a complete hyperbolic starlike domain of
$\C^N$ (in particular in bounded convex domains) admits an essentially unique
univalent solution with values in $\C^N$.

18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom