Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational Approximation for a Quasilinear Parabolic Equation   Approximation theorems, analogous to known results for linear elliptic
equations, are obtained for solutions of the heat equation. Via the Cole-Hopf
transformation, this gives rise to approximation theorems for a nonlinear
parabolic equation, Burgers' equation.

3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom