Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse Problem of Finding the Time-dependent Coefficient of Heat
  Equation from Integral Overdetermination Condition Data   In this paper we consider the problem of simultaneously determining the
time-dependent thermal diffusivity and the temperature distribution in
one-dimensional heat equation in the case of nonlocal boundary and integral
overdetermination conditions. We establish conditions for the existence and
uniqueness of a classical solution of the problem under considerations. We
present some results on the numerical solution with an example.

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The categories of this paper are: hep-th
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The categories of this paper are: econ
3
The categories of this paper are: physics
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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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: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph