Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-uniqueness for non-negative solutions of parabolic stochastic
  partial differential equations   Pathwise non-uniqueness is established for non-negative solutions of the
parabolic stochastic pde $$\frac{\partial X}{\partial
t}=\frac{\Delta}{2}X+X^p\dot W+\psi,\ X_0\equiv 0$$ where $\dot W$ is a white
noise, $\psi\ge 0$ is smooth, compactly supported and non-trivial, and
$0<p<1/2$. We further show that any solution spends positive time at the 0
function.

3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex