We prove the Γ-convergence of the renormalised Gaussian fractional s-perimeter to the Gaussian perimeter as s → 1 - {s o 1^{-}}. Our definition of fractional perimeter comes from that of the fractional powers of Ornstein-Uhlenbeck operator given via Bochner subordination formula. As a typical feature of the Gaussian setting, the constant appearing in front of the Γ-limit does not depend on the dimension.
Gamma-convergence of Gaussian fractional perimeter / Carbotti, A.; Cito, S.; La Manna, D. A.; Pallara, D.. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - 0:0(2023). [10.1515/acv-2021-0032]
Gamma-convergence of Gaussian fractional perimeter
Cito S.;La Manna D. A.;Pallara D.
2023
Abstract
We prove the Γ-convergence of the renormalised Gaussian fractional s-perimeter to the Gaussian perimeter as s → 1 - {s o 1^{-}}. Our definition of fractional perimeter comes from that of the fractional powers of Ornstein-Uhlenbeck operator given via Bochner subordination formula. As a typical feature of the Gaussian setting, the constant appearing in front of the Γ-limit does not depend on the dimension.File in questo prodotto:
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