Sharp explicit lower bounds of heat kernels

• 成果类型: Article
• 署名作者: Wang, FY
• 署名单位: Beijing Normal University; University of Warwick
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1023481118
• 发表日期: 1997
• 页码: 1995-2006
• 关键词: Manifolds

摘要

By using logarithmic transformations, an explicit lower bound estimate of heat kernels is obtained for diffusion processes on Riemannian manifolds. This estimate is sharp for both short and long times, especially for heat kernels on a compact manifold, and is extended to manifolds with unbounded curvature.