Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence & Regularity of Weak Solutions of Degenerate Parabolic PDE
  Models for the Pricing of Security Derivatives   This work is focused on the solvability of initial-boundary value problems
for degenerate parabolic partial differential equations that arise in the
pricing of Asian options, and on the investigation of differential and certain
qualitative properties of solutions of such equations. The generalized
solvability for such models with degeneracy at the boundaries is proven by
employing solutions obtained from finite difference numerical schemes.
Furthermore, the regularity of such solutions is studied.

10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org