Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the partial data inverse problem for a nonlinear magnetic
  Schr\"odinger operator on Riemann surface   We recover a nonlinear magnetic Schr\"odinger potential from measurement on
an arbitrarily small open subset of the boundary on a compact Riemann surface.
We assume that the magnetic potential satisfies suitable analytic properties,
in which case the recovery can be obtained by a linearisation argument. The
proof relies on the complex analytic methods introduced in [15].

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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: econ