Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness in Law for the Allen-Cahn SPDE via Change of Measure   We start by first using change of measure to prove the transfer of uniqueness
in law among pairs of parabolic SPDEs differing only by a drift function, under
an almost sure $L^2$ condition on the drift/diffusion ratio. This is a
considerably weaker condition than the usual Novikov one, and it allows us to
prove uniqueness in law for the Allen-Cahn SPDE driven by space-time white
noise with diffusion function $a(t,x,u)=Cu^\gamma$, $1/2\le\gamma\le1$ and
$C\ne0$. The same transfer result is also valid for ordinary SDEs and
hyperbolic SPDEs.

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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph