Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Well-posedness of Non-Markovian Multidimensional Superquadratic
  BSDE   (Working Paper) Using a purely probabilistic argument, we prove the global
well-posedness of multidimensional superquadratic backward stochastic
differential equations (BSDEs) without Markovian assumption. The key technique
is the interplay between the local well-posedness of fully coupled
path-dependent forward backward stochastic differential equations (FBSDEs) and
backward iterations of the superquadratic BSDE. The superquadratic BSDE studied
in this article includes quadratic BSDEs appear in stochastic differential game
and price impact model. We also study the well-posedness of superquadratic
FBSDEs and FBSDEs with measurable coefficients using the corresponding BSDE
results. Our result also provides the well-posedness of a system of
path-dependent quasilinear partial differential equations where the
nonlinearity has superquadratic growth in the gradient of the solution.

34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph