Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Existence and Uniqueness of Viscosity Solutions for Second Order
  Fully Nonlinear PDEs with Caputo time fractional derivatives   Initial-boundary value problems for second order fully nonlinear PDEs with
Caputo time fractional derivatives of order less than one are considered in the
framework of viscosity solution theory. Associated boundary conditions are
Dirichlet and Neumann, and they are considered in the strong sense and the
viscosity sense, respectively. By a comparison principle and Perron's method,
unique existence for the Cauchy-Dirichlet and Cauchy-Neumann problems are
proved.

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The categories of this paper are: nlin
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The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
18
The categories of this paper are: econ
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The categories of this paper are: stat
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: q-fin