Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Viscosity solutions of path-dependent PDEs with randomized time   We introduce a new definition of viscosity solution to path-dependent partial
differential equations, which is a slight modification of the definition
introduced in [8]. With the new definition, we prove the two important results
till now missing in the literature, namely, a general stability result and a
comparison result for semicontinuous sub-/super-solutions. As an application,
we prove the existence of viscosity solutions using the Perron method.
Moreover, we connect viscosity solutions of path-dependent PDEs with viscosity
solutions of partial differential equations on Hilbert spaces.

26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys