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Fractional Laplacians, perimeters and heat semigroups in Carnot groups

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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… Click to show full 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.

Keywords: heat semigroups; carnot groups; perimeters heat; laplacians perimeters; fractional laplacians; semigroups carnot

Journal Title: Discrete and Continuous Dynamical Systems - Series S
Year Published: 2017

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