Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On forward and backward SPDEs with non-local boundary conditions   We study linear stochastic partial differential equations of parabolic type
with non-local in time or mixed in time boundary conditions. The standard
Cauchy condition at the terminal time is replaced by a condition that mixes the
random values of the solution at different times, including the terminal time,
initial time and continuously distributed times. For the case of backward
equations, this setting covers almost surely periodicity. Uniqueness,
solvability and regularity results for the solutions are obtained. Some
possible applications to portfolio selection are discussed.

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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn