Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Calderon inverse Problem for the Schrodinger Operator on Riemann
  Surfaces   On a fixed smooth compact Riemann surface with boundary $(M_0,g)$, we show
that the Cauchy data space (or Dirichlet-to-Neumann map $\mc{N}$) of the
Schr\"odinger operator $\Delta +V$ with $V\in C^2(M_0)$ determines uniquely the
potential $V$. We also discuss briefly the corresponding consequences for
potential scattering at 0 frequency on Riemann surfaces with asymptotically
Euclidean or asymptotically hyperbolic ends.

37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
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The categories of this paper are: stat