Article (Scientific journals)
Uniform gradient estimates on manifolds with a boundary and applications
Cheng, Li Juan; Thalmaier, Anton; Thompson, James
2018In Analysis and Mathematical Physics, 8 (4), p. 571-588
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Abstract :
[en] We revisit the problem of obtaining uniform gradient estimates for Dirichlet and Neumann heat semigroups on Riemannian manifolds with boundary. As applications, we obtain isoperimetric inequalities, using Ledoux's argument, and uniform quantitative gradient estimates, firstly for bounded C^2 functions with boundary conditions and then for the unit spectral projection operators of Dirichlet and Neumann Laplacians.
Disciplines :
Mathematics
Author, co-author :
Cheng, Li Juan ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Thalmaier, Anton ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Thompson, James ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
Uniform gradient estimates on manifolds with a boundary and applications
Publication date :
November 2018
Journal title :
Analysis and Mathematical Physics
ISSN :
1664-235X
Publisher :
Birkhäuser, Basel, Switzerland
Volume :
8
Issue :
4
Pages :
571-588
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 27 March 2018

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