Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal control of diffusion equation with missing data governed by
  Dirichlet fractional Laplacian   We consider an optimal control problem of diffusion equation with missing
data governed by the fractional Laplacian with homogeneous Dirichlet boundary
conditions on an arbitrary interaction domain disjoint from the domain of the
state equation. We assume that the unknown initial condition belongs to an
appropriate space of infinite dimension, the so-called space of uncertainties.
The key tools we used in order to characterize the optimal control is the
no-regret and low-regret control developed by J.L Lions.

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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph