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- W2912687552 abstract "We consider the fractional Laplacian -(-Δ) α/2 on an open subset in R d with zero exterior condition.We establish sharp two-sided estimates for the heat kernel of such Dirichlet fractional Laplacian in C 1,1 open sets. This heat kernel is also the transition density of a rotationally symmetric stable process killed upon leaving a C 1,1 open set. Our results are the first sharp two-sided estimates for the Dirichlet heat kernel of a non-local operator on open sets." @default.
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- W2912687552 date "2009-05-01" @default.
- W2912687552 modified "2023-09-24" @default.
- W2912687552 title "Heat Kernel Estimates for Dirichlet Fractional Laplacian" @default.
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