F. Ferrari - M. Miranda Jr - D. Pallara - A. Pinamonti - Y. Sire

Fractional Laplacians, perimeters and heat semigroups in Carnot groups

Accepted Paper: DCDS-S

Inserted: 23 jul 2017
Last Updated: 1 mar 2018

Year: 2017

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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• FracHeat.pdf