Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An inverse problem for a fractional diffusion equation with fractional
  power type nonlinearities   We study the well-posedness of a semilinear fractional diffusion equation and
formulate an associated inverse problem. We determine fractional power type
nonlinearities from the exterior partial measurements of the
Dirichlet-to-Neumann map. Our arguments are based on a first order
linearization as well as the parabolic Runge approximation property.

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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
3
The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: econ