Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Calder\'on problem and normal forms   We outline an approach to the inverse problem of Calder\'on that highlights
the role of microlocal normal forms and propagation of singularities and
extends a number of earlier results also in the anisotropic case. The main
result states that from the boundary measurements it is possible to recover
integrals of the unknown coefficient over certain two-dimensional manifolds
called good bicharacteristic leaves. This reduces the Calder\'on problem into
solving a linear integral geometry problem (inversion of a bicharacteristic
leaf transform).

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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph