Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quadratic FBSDE with generalized Burgers' type nonlinearities,
  perturbations and large deviations   We discuss BSDE with drivers containing nonlinearities of the type $p(y)|z|$
and $p(y)|z|^2$ with $p$ a polynomial of any degree. Sufficient conditions are
given for existence and uniqueness of solutions as well as comparison results.
We then connect the results to the Markovian FBSDE setting, discussing
applications in the theory of PDE perturbation and stating a result concerning
a large deviations principle for the first component of the solution to the
BSDE.

7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex