Calculus of Variations and Geometric Measure Theory
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F. Ferrari - M. J. Miranda - D. Pallara - A. Pinamonti - Y. Sire

Fractional Laplacians, perimeters and heat semigroups in Carnot groups

created by pinamonti on 23 Jul 2017
modified on 03 Aug 2017

[BibTeX]

Accepted Paper: DCDS-S

Inserted: 23 jul 2017
Last Updated: 3 aug 2017

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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