Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recovery of multiple coefficients in a reaction-diffusion equation   This paper considers the inverse problem of recovering both the unknown,
spatially-dependent conductivity $a(x)$ and the potential $q(x)$ in a parabolic
equation from overposed data consisting of the value of solution profiles taken
at a later time $T$. We show both uniqueness results and the convergence of an
iteration scheme designed to recover these coefficients. We also allow a more
general setting, in particular when the usual time derivative is replaced by
one of fractional order and when the potential term is coupled with a known
nonlinearity $f$ of the form $q(x)f(u)$.

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The categories of this paper are: hep-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th