Gradient estimates of Dirichlet heat semigroups and application to isoperimetric inequalities
Wang, Feng-Yu
Ann. Probab., Tome 32 (2004) no. 1A, p. 424-440 / Harvested from Project Euclid
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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.
Publié le : 2004-01-14
Classification:  Gradient estimate,  Dirichlet heat semigroup,  isoperimetric inequality,  58G11,  60J60 
@article{1078415841,
     author = {Wang, Feng-Yu},
     title = {Gradient estimates of Dirichlet heat semigroups and application to isoperimetric inequalities},
     journal = {Ann. Probab.},
     volume = {32},
     number = {1A},
     year = {2004},
     pages = { 424-440},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1078415841}
}

Wang, Feng-Yu. Gradient estimates of Dirichlet heat semigroups and application to isoperimetric inequalities. Ann. Probab., Tome 32 (2004) no. 1A, pp.  424-440. http://gdmltest.u-ga.fr/item/1078415841/