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Heat kernel estimates for the Dirichlet fractional Laplacian

2014.03.24 18:19

실적년도	2010 년
논문구분	국외
총저자	Panki Kim Zhen-Qing Chen
학술지명	Journal of the European Mathematical society
권(Vol.)	12
호(No.)	5
게재년월	년 월
Impact Factor
SCI 등재	SCI
비고

We consider the fractional Laplacian on an open subset in Rd with zero
exterior condition. We establish sharp two-sided estimates for the heat kernel of such a Dirichlet
fractional Laplacian in C1;1 open sets. This heat kernel is also the transition density of a rotationally
symmetric
-stable process killed upon leaving a C1;1 open set. Our results are the first sharp twosided
estimates for the Dirichlet heat kernel of a non-local operator on open sets.

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