Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximum principle for non-uniformly parabolic equations and applications   In this paper we study the global boundedness for the solutions to a class of
possibly degenerate parabolic equations by De-Giorgi's iteration. As
applications, we show the existence of weak solutions for possibly degenerate
stochastic differential equations with singular diffusion and drift
coefficients. Moreover, by the Markov selection theorem of Krylov [8], we also
establish the existence of the associated strong Markov family.

24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con