Gamma-convergence of Gaussian fractional perimeter
Carbotti, A., Cito, S., La Manna, D. A., & Pallara, D. (2023). Gamma-convergence of Gaussian fractional perimeter. Advances in Calculus of Variations, 16(3), 571-595. https://doi.org/10.1515/acv-2021-0032
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Advances in Calculus of VariationsDate
2023Copyright
© 2023 De Gruyter
We prove the Γ-convergence of the renormalised Gaussian fractional s-perimeter to the Gaussian perimeter as s→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.
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Alessandro Carbotti was partially supported by the TALISMAN project Cod. ARS01-01116. Simone Cito was partially supported by the ACROSS project Cod. ARS01-00702. Domenico Angelo La Manna was supported by the Academy of Finland grant 314227. Diego Pallara is member of G.N.A.M.P.A. of the Italian Istituto Nazionale di Alta Matematica (INdAM) and was partially supported by the PRIN 2015 MIUR project ...
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