Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of solutions for a higher-order semilinear parabolic equation
  with singular initial data   We establish the existence of solutions of the Cauchy problem for a
higher-order semilinear parabolic equation by introducing a new majorizing
kernel. We also study necessary conditions on the initial data for the
existence of local-in-time solutions and identify the strongest singularity of
the initial data for the solvability of the Cauchy problem.

4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int