Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse problems for the fractional Laplace equation with lower order
  nonlinear perturbations   We study the inverse problem for the fractional Laplace equation with
multiple nonlinear lower order terms. We show that the direct problem is
well-posed and the inverse problem is uniquely solvable. More specifically, the
unknown nonlinearities can be uniquely determined from exterior measurements
under suitable settings.

29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph