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Published in 2017 at "Discrete and Continuous Dynamical Systems - Series S"
DOI: 10.3934/dcdss.2018026
Abstract: We define and study the fractional Laplacian and the fractional perimeter of a set in Carnot groups and we compare the perimeter with the asymptotic behaviour of the fractional heat semigroup.
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Keywords:
heat semigroups;
carnot groups;
perimeters heat;
laplacians perimeters ... See more keywords