Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic Maximum Principle for Optimal Control ofPartial Differential
  Equations Driven by White Noise   We prove a stochastic maximum principle ofPontryagin's type for the optimal
control of a stochastic partial differential equationdriven by white noise in
the case when the set of control actions is convex. Particular attention is
paid to well-posedness of the adjoint backward stochastic differential equation
and the regularity properties of its solution with values in
infinite-dimensional spaces.

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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: gr-qc