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- W2892042765 abstract "In this paper we discuss non-local operators with killing potentials, which may not be in the standard Kato class. We first discuss factorization of their Dirichlet heat kernels in metric measure spaces. Then we establish explicit estimates of the Dirichlet heat kernels under critical killings in $C^{1,1}$ open subsets of $mathbb{R}^d$ or in $mathbb{R}^dsetminus{0}$. The decay rates of our explicit estimates come from the values of the multiplicative constants in the killing potentials. Our method also provides an alternative and unified proof of the main results of cite{CKS10a, CKS10b, CKS-AOP}." @default.
- W2892042765 created "2018-09-27" @default.
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- W2892042765 date "2018-09-05" @default.
- W2892042765 modified "2023-09-25" @default.
- W2892042765 title "Factorization and estimates of Dirichlet heat kernels for non-local operators with critical killings" @default.
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- W2892042765 doi "https://doi.org/10.48550/arxiv.1809.01782" @default.
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