Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuity of the temperature in a multi-phase transition problem   Locally bounded, local weak solutions to a doubly nonlinear parabolic
equation, which models the multi-phase transition of a material, is shown to be
locally continuous. Moreover, an explicit modulus of continuity is given. The
effect of the $p$-Laplacian type diffusion is also considered.

14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol