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논문 기본 정보
- 자료유형
- 학술대회자료
- 저자정보
- 발행연도
- 2009.5
- 수록면
- 215 - 219 (5page)
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We consider the fractional Laplacian -(-Δ)<SUP>α/2</SUP> on an open subset in R<SUP>d</SUP> with zero exterior condition.We establish sharp two-sided estimates for the heat kernel of such Dirichlet fractional Laplacian in C<SUP>1,1</SUP> open sets. This heat kernel is also the transition density of a rotationally symmetric stable process killed upon leaving a C<SUP>1,1</SUP> open set. Our results are the first sharp two-sided estimates for the Dirichlet heat kernel of a non-local operator on open sets.
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ABSTRACT
INTRODUCTION AND MAIN RESULT
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UCI(KEPA) : I410-ECN-0101-2012-410-003697384