Gradient estimates of Dirichlet heat semigroups and application to isoperimetric inequalities

• 成果类型: Article
• 署名作者: Wang, FY
• 署名单位: Beijing Normal University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1078415841
• 发表日期: 2004
• 页码: 424-440
• 关键词: riemannian-manifolds; EIGENVALUE; constant

摘要

By using probabilistic approaches, some uniform gradient estimates are obtained for Dirichlet heat semigroups on a Riemannian manifold with boundary. As an application, lower bound estimates of isoperimetric constants are presented in terms of functional inequalities.