Author:
Carbotti Alessandro,Cito Simone,La Manna Domenico Angelo,Pallara Diego
Abstract
AbstractWe study the asymptotic behaviour of the renormalised s-fractional Gaussian perimeter of a set E inside a domain $$\Omega $$
Ω
as $$s\rightarrow 0^+$$
s
→
0
+
. Contrary to the Euclidean case, as the Gaussian measure is finite, the shape of the set at infinity does not matter, but, surprisingly, the limit set function is never additive.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
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