Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An inverse anisotropic conductivity problem induced bytwisting a
  homogeneous cylindrical domain   We consider the inverse problem of determining the unknown function $\alpha:
\mathbb{R} \rightarrow \mathbb{R}$ from the DN map associated to the operator
$\mbox{div}(A(x',\alpha (x\_3))\nabla \cdot)$ acting in the infinite straight
cylindrical waveguide $\Omega =\omega \times \mathbb{R}$, where $\omega$ is a
bounded domain of $\mathbb{R}^2$. Here $A=(A\_{ij}(x))$, $x=(x',x\_3) \in
\Omega$, is a matrix-valued metric on $\Omega$ obtained by straightening a
twisted waveguide. This inverse anisotropic conductivity problem remains
generally open, unless the unknown function $\alpha$ is assumed to be constant.
In this case we prove Lipschitz stability in the determination of $\alpha$ from
the corresponding DN map. The same result remains valid upon substituting a
suitable approximation of the DN map, provided the function $\alpha$ is
sufficiently close to some {\it a priori} fixed constant.

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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
3
The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
1
The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org