HEAT KERNEL ESTIMATES FOR THE FRACTIONAL LAPLACIAN WITH DIRICHLET CONDITIONS

• 成果类型: Article
• 署名作者: Bogdan, Krzysztof; Grzywny, Tomasz; Ryznar, Michal
• 署名单位: Wroclaw University of Science & Technology
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/10-AOP532
• 发表日期: 2010
• 页码: 1901-1923
• 关键词: symmetric stable processes; green-functions; lipschitz-domains; intrinsic ultracontractivity; schrodinger operator; harnack inequality; harmonic functions; jump-processes; SPACES; perturbations

摘要

We give sharp estimates for the heat kernel of the fractional Laplacian with Dirichlet condition for a general class of domains including Lipschitz domains.