Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characteristic functions on the boundary of a planar domain need not be
  traces of least gradient functions   Given a smooth bounded planar domain, we construct a compact set on the
boundary s.t. its characteristic function is not the trace of a least gradient
function. This generalize the construction of Spradlin and Tamasan [ST14] on
the disc.

5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con