Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An inverse problem for the magnetic Schr\"{o}dinger operator on
  Riemannian manifolds from partial boundary data   We consider the inverse problem of recovering the magnetic and potential term
of a magnetic Schr\"{o}dinger operator on certain compact Riemannian manifolds
with boundary from partial Dirichlet and Neumann data on suitable subsets of
the boundary. The uniqueness proof relies on proving a suitable Carleman
estimate for functions which vanish only on a part of boundary and constructing
complex geometric optics solutions which vanish on a part of the boundary.

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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph