Gradient estimates of Dirichlet heat semigroups and application to isoperimetric inequalities

• Feng-Yu Wang ^[1]
  1. [1] Beijing Normal University

     Beijing Normal University

     China

     
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 32, Nº. 1, 1, 2004, págs. 424-440
• Idioma: inglés
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• Resumen

  • 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.