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.
Ferrari, F., Miranda, M., Pallara, D., Pinamonti, A., Sire, Y. (2018). Fractional laplacians, perimeters and heat semigroups in carnot groups. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S, 11(3), 477-491 [10.3934/dcdss.2018026].
Fractional laplacians, perimeters and heat semigroups in carnot groups
Ferrari, Fausto;
2018
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.File in questo prodotto:
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