Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mild Solutions and Harnack Inequality for Functional SPDEs with Dini
  Drift   The existence and uniqueness of the mild solution for a class of functional
SPDEs with multiplicative noise and a locally Dini continuous drift are proved.
In addition, under a reasonable condition the solution is non-explosive.
Moreover, Harnack inequalities are derived for the associated semigroup under
certain global conditions, which is new even in the case without delay.

3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: eess
37
The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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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: econ
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The categories of this paper are: stat