Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic solutions of nonlinear PDE's and an extension of
  superprocesses   Stochastic solutions provide new rigorous results for nonlinear PDE's and,
through its local non-grid nature, are a natural tool for parallel computation.
There are two different approaches for the construction of stochastic
solutions: MacKean's and superprocesses. However, when restricted to measures,
superprocesses can only be used to generate solutions for a limited class of
nonlinear PDE's. A new class of superprocesses, namely superprocesses on signed
measures and on distributions, is proposed to extend the stochastic solution
approach to a wider class of PDE's.

10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat