Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decay Estimates for a Viscous Hamilton-Jacobi Equation with Homogenious
  Dirichet Boundary Conditions   Global classical solutions to the viscous Hamilton-Jacobi equation with
homogenious Dirichlet boundary conditions are shown to converge to zero at the
same speed as the linear heat semigroup when p > 1. For p = 1, an exponential
decay to zero is also obtained in one space dimension but the rate depends on a
and differs from that of the linear heat equation. Finally, if 0 < p < 1 and a
< 0, finite time extinction occurs for non-negative solutions.

16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs