Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probabilistic interpretation for solutions of fully Nonlinear Stochastic
  PDEs   In this article, we propose a wellposedness theory for a class of second
order backward doubly stochastic differential equation (2BDSDE). We prove
existence and uniqueness of the solution under a Lipschitz type assumption on
the generator, and we investigate the links between our 2BDSDEs and a class of
parabolic fully nonLinear Stochastic PDes. Precisely, we show that the
Markovian solution of 2BDSDEs provide a probabilistic interpretation of the
classical and stochastic viscosity solution of fully nonlinear SPDEs.

27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci