Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher regularity for parabolic equations based on maximal L_p-L_q
  spaces   In this paper we prove higher regularity for 2m-th order parabolic equations
with general boundary conditions. This is a kind of maximal L_p-L_q regularity
with differentiability, i.e. the main theorem is isomorphism between the
solution space and the data space using Besov and Triebel--Lizorkin spaces. The
key is compatibility conditions for the initial data. We are able to get a
unique smooth solution if the data satisfying compatibility conditions are
smooth.

5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph