Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heat kernel estimates for the fractional Laplacian with Dirichlet
  conditions   We give sharp estimates for the heat kernel of the fractional Laplacian with
Dirichlet condition for a general class of domains including Lipschitz domains.

37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int