Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantitative De Giorgi methods in kinetic theory for non-local operators   We derive quantitatively the weak and strong Harnack inequality for kinetic
Fokker-Planck type equations with a non-local diffusion operator for the full
range of the non-locality exponent $s \in (0,1)$. This implies H\"older
continuity. We give novel proofs on the boundedness of the bilinear form
associated to the non-local operator and on the construction of a geometric
covering accounting for the non-locality to obtain the Harnack inequalities.
Our results apply to the inhomogeneous Boltzmann equation in the non-cutoff
case.

29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph