Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Initial-Boundary Value Problems for Parabolic Equations   We prove new existence and uniqueness results for weak solutions to
non-homogeneous initial-boundary value problems for parabolic equations modeled
on the evolution of the p-Laplacian.

3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph