Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parabolic complex Monge-Amp\`ere equations on compact Hermitian
  manifolds   We prove the long-time existence and convergence of solutions to a general
class of parabolic equations, not necessarily concave in the Hessian of the
unknown function, on a compact Hermitian manifold. The limiting function is
identified as the solution of an elliptic complex Monge-Amp\`ere equation.

37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph