Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Notes on the Cauchy Problem for Backward Stochastic Partial Differential
  Equations   Backward stochastic partial differential equations of parabolic type with
variable coefficients are considered in the whole Euclidean space. Improved
existence and uniqueness results are given in the Sobolev space $H^n$
($=W^n_2$) under weaker assumptions than those used by X. Zhou [Journal of
Functional Analysis 103, 275--293 (1992)]. As an application, a comparison
theorem is obtained.

19
The categories of this paper are: eess
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The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
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The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph