Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A flower structure of backward flow invariant domains for semigroups   In this paper, we study conditions which ensure the existence of backward
flow invariant domains for semigroups of holomorphic self-mappings of a simply
connected domain $D$. More precisely, the problem is the following. Given a
one-parameter semigroup $\mathcal S$ on $D$, find a simply connected subset
$\Omega\subset D$ such that each element of $\mathcal S$ is an automorphism of
$\Omega$, in other words, such that $\mathcal S$ forms a one-parameter group on
$\Omega$.
  On the way to solving this problem, we prove an angle distortion theorem for
starlike and spirallike functions with respect to interior and boundary points.

34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat