Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher regularity of solutions to the singular p-Laplacean parabolic
  system   We study existence and regularity properties of solutions to the singular
$p$-Laplacean parabolic system in a bounded domain $\Omega$. The main purpose
is to prove global $L^r(\varepsilon,T;L^q(\Omega))$, $\varepsilon\geq0$,
integrability properties of the second spatial derivatives and of the time
derivative of the solutions. Hence, for suitable $p$ and exponents $r,\,q$, by
Sobolev embedding theorems, we deduce global regularity of $u$ and $\nabla u$
in H\"older spaces. Finally we prove a global pointwise bound for the solution
under the assumption $p>\frac{2n}{n+2}$.

34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys