Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal regularity for parabolic partial differential equations on
  manifolds with cylindrical ends   We give a short, simple proof of maximal regularity for linear parabolic
evolution equations on manifolds with cylindrical ends by making use of
pseudodifferential parametrices and the concept of R-boundedness for the
resolvent.

20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
16
The categories of this paper are: stat