Article (Scientific journals)
Gradient Estimates on Dirichlet and Neumann Eigenfunctions
Arnaudon, Marc; Thalmaier, Anton; Wang, Feng-Yu
2020In International Mathematics Research Notices, 2020 (20), p. 7279-7305
Peer Reviewed verified by ORBi
 

Files


Full Text
18atw-IRMN-ArXiv.pdf
Author preprint (341.86 kB)
Download

All documents in ORBilu are protected by a user license.

Send to



Details



Abstract :
[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 :
Mathematics
Author, co-author :
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
External co-authors :
yes
Language :
English
Title :
Gradient Estimates on Dirichlet and Neumann Eigenfunctions
Publication date :
October 2020
Journal title :
International Mathematics Research Notices
ISSN :
1687-0247
Publisher :
Oxford University Press, Oxford, United Kingdom
Volume :
2020
Issue :
20
Pages :
7279-7305
Peer reviewed :
Peer Reviewed verified by ORBi
FnR Project :
FNR7628746 - Geometry Of Random Evolutions, 2014 (01/03/2015-28/02/2018) - Anton Thalmaier
Name of the research project :
R-AGR-0517 - IRP15 - AGSDE (20150901-20190630) - THALMAIER Anton
Funders :
University of Luxembourg - UL
Available on ORBilu :
since 15 November 2017

Statistics


Number of views
595 (96 by Unilu)
Number of downloads
268 (31 by Unilu)

Scopus citations®
 
1
Scopus citations®
without self-citations
1
OpenCitations
 
1
WoS citations
 
3

Bibliography


Similar publications



Contact ORBilu