Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of Dirichlet heat kernel estimates for non-local operators
  under Feynman-Kac perturbation   In this paper we show that Dirichlet heat kernel estimates for a class of
(not necessarily symmetric) Markov processes are stable under non-local
Feynman-Kac perturbations. This class of processes includes, among others,
(reflected) symmetric stable-like processes on closed $d$-sets in $\bR^d$,
killed symmetric stable processes, censored stable processes in $C^{1, 1}$ open
sets as well as stable processes with drifts in bounded $C^{1, 1}$ open sets.

26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
3
The categories of this paper are: physics