Reference : Uniform gradient estimates on manifolds with a boundary and applications
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/35365
Uniform gradient estimates on manifolds with a boundary and applications
English
Cheng, Li Juan mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Thalmaier, Anton mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Thompson, James mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Nov-2018
Analysis and Mathematical Physics
Birkhäuser
8
4
571-588
Yes (verified by ORBilu)
International
1664-2368
1664-235X
Basel
Switzerland
[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.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/35365
10.1007/s13324-018-0228-6
https://arxiv.org/abs/1803.08844
FnR ; FNR7628746 > Anton Thalmaier > GEOMREV > Geometry of random evolutions > 01/03/2015 > 28/02/2018 > 2014

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