Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: BSDEs with stochastic Lipschitz condition and quadratic PDEs in Hilbert
  spaces   This paper is devoted to the study of the differentiability of solutions to
real-valued backward stochastic differential equations (BSDEs for short) with
quadratic generators driven by a cylindrical Wiener process. The main novelty
of this problem consists in the fact that the gradient equation of a quadratic
BSDE has generators which satisfy stochastic Lipschitz conditions involving BMO
martingales. We show some applications to the nonlinear Kolmogorov equations.

1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th