Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A pointwise inequality for fractional laplacians   The fractional laplacian is an operator appearing in several evolution models
where diffusion coming from a L\'evy process is present but also in the
analysis of fluid interphases. We provide an extension of a pointwise
inequality that plays a r\^ole in their study. We begin recalling two scenarios
where it has been used. After stating the results, for fractional
Laplace-Beltrami and Dirichlet-Neumann operators, we provide an sketch of their
proofs, unravelling the underlying principle to such inequalities.

16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci