Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reflected BSDEs and continuous solutions of parabolic obstacle problem
  for semilinear PDEs in divergence form   We consider the Cauchy problem for semilinear parabolic equation in
divergence form with obstacle. We show that under natural conditions on the
right-hand side of the eqution and mild conditions on the obstacle a unique
continuous solution of the problem admits a stochastic representation in terms
of reflected backward stochastic differential equations. We derive also some
regularity properties of so- lutions and prove useful approximation results.

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The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph