Reference : Quantitative C1-estimates by Bismut formulae
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Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/31856
Quantitative C1-estimates by Bismut formulae
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 >]
2017
Math arXiv
10
No
[en] For a C2 function u and an elliptic operator L, we prove a quantitative estimate for the derivative du in terms of local bounds on u and Lu. An integral version of this estimate is then used to derive a condition for the zero-mean value property of Δu. An extension to differential forms is also given. Our approach is probabilistic and could easily be adapted to other settings.
Researchers ; Students
http://hdl.handle.net/10993/31856
http://arxiv.org/abs/1707.07121
https://arxiv.org/abs/1707.07121
FnR ; FNR7628746 > Anton Thalmaier > GEOMREV > Geometry Of Random Evolutions > 01/03/2015 > 28/02/2018 > 2014

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