Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solvability of Superlinear Fractional Parabolic Equations   We study necessary conditions and sufficient conditions for the existence of
local-in-time solutions of the Cauchy problem for superlinear fractional
parabolic equations. Our conditions are sharp and clarify the relationship
between the solvability of the Cauchy problem and the strength of the
singularities of the initial measure.

9
The categories of this paper are: nlin
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th