Gamma-convergence of Gaussian fractional perimeter
Abstract
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.
Main Authors
Format
Articles
Research article
Published
2023
Series
Subjects
Publication in research information system
Publisher
De Gruyter
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202402211999Käytä tätä linkitykseen.
Review status
Peer reviewed
ISSN
1864-8258
DOI
https://doi.org/10.1515/acv-2021-0032
Language
English
Published in
Advances in Calculus of Variations
Citation
- 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
License
Funder(s)
Research Council of Finland
Funding program(s)
Research costs of Academy Research Fellow, AoF
Akatemiatutkijan tutkimuskulut, SA
Additional information about funding
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 2015233N54.
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