Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimates of Dirichlet heat kernel for symmetric Markov processes   We consider a large class of symmetric pure jump Markov processes dominated
by isotropic unimodal L\'evy processes with weak scaling conditions. First, we
establish sharp two-sided heat kernel estimates for these processes in
$C^{1,1}$ open sets. As corollaries of our main results, we obtain sharp
two-sided Green function estimates and a scale invariant boundary Harnack
inequality with explicit decay rates in $C^{1,1}$ open sets.

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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga