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.
Fractional laplacians, perimeters and heat semigroups in carnot groups / Ferrari, Fausto; Miranda, Michele; Pallara, Diego; Pinamonti, Andrea; Sire, Yannick. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - ELETTRONICO. - 11:3(2018), pp. 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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