Abstract
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.
Citation
Feng-Yu Wang. "Gradient estimates of Dirichlet heat semigroups and application to isoperimetric inequalities." Ann. Probab. 32 (1A) 424 - 440, January 2004. https://doi.org/10.1214/aop/1078415841
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