Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On viscosity solutions of path dependent PDEs   In this paper we propose a notion of viscosity solutions for path dependent
semi-linear parabolic PDEs. This can also be viewed as viscosity solutions of
non-Markovian backward SDEs, and thus extends the well-known nonlinear
Feynman-Kac formula to non-Markovian case. We shall prove the existence,
uniqueness, stability and comparison principle for the viscosity solutions. The
key ingredient of our approach is a functional It\^{o} calculus recently
introduced by Dupire [Functional It\^{o} calculus (2009) Preprint].

17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con