Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-improving property of degenerate parabolic equations of porous
  medium-type   We show that the gradient of solutions to degenerate parabolic equations of
porous medium-type satisfies a reverse H\"older inequality in suitable
intrinsic cylinders. We modify the by-now classical Gehring lemma by
introducing an intrinsic Calder\'on-Zygmund covering argument, and we are able
to prove local higher integrability of the gradient of a proper power of the
solution $u$.

21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg