Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Calder\'on problem in the $L^p$ framework on Riemann surfaces   The purpose of this article is to extend the uniqueness results for the two
dimensional Calder\'on problem to unbounded potentials on general geometric
settings. We prove that the Cauchy data sets for Schr\"odinger equations
uniquely determines potentials in $L^{p}$ for $p> 4/3$. In doing so, we first
recover singularities of the potential, from which point a $L^2$-based method
of stationary phase can be applied. Both steps are done via constructions of
complex geometric optic solutions and Carleman estimates.

31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
3
The categories of this paper are: physics