Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Triviality of the 2D stochastic Allen-Cahn equation   We consider the stochastic Allen-Cahn equation driven by mollified space-time
white noise. We show that, as the mollifier is removed, the solutions converge
weakly to 0, independently of the initial condition. If the intensity of the
noise simultaneously converges to 0 at a sufficiently fast rate, then the
solutions converge to those of the deterministic equation. At the critical
rate, the limiting solution is still deterministic, but it exhibits an
additional damping term.

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The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph