[en] By methods of stochastic analysis on Riemannian manifolds, we derive explicit two-sided gradient estimates for Dirichlet eigenfunctions on a d-dimensional compact Riemannian manifold D with boundary. Corresponding two-sided gradient estimates for Neumann eigenfunctions are derived in the second part of the paper.
Disciplines :
Mathématiques
Auteur, co-auteur :
Arnaudon, Marc; Université de Bordeaux > Institut de Mathématiques de Bordeaux
THALMAIER, Anton ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Wang, Feng-Yu; Tianjin University > Center for Applied Mathematics
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Gradient Estimates on Dirichlet and Neumann Eigenfunctions
