Asymptotic analysis of a family of non-local functionals on sets

DOI10.1051/cocv/2022080OpenAlexW3206516352MaRDI QIDQ5878119

Luca Lussardi, Michela Eleuteri, Andrea Torricelli

Publication date: 17 February 2023

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.13110

zbMATH Keywords

finite perimeter setsnon-local perimetersanisotropic perimeters

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75)

Cites Work

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• Halfspaces minimise nonlocal perimeter: a proof via calibrations
• Heat content asymptotics of a Riemannian manifold with boundary
• Short-time heat flow and functions of bounded variation in \(\mathbb R^N\)
• A non-local anisotropic model for phase transitions: asymptotic behaviour of rescaled energies
• On the asymptotic behaviour of nonlocal perimeters
• Threshold Dynamics for Networks with Arbitrary Surface Tensions
• Convolution Kernels and Stability of Threshold Dynamics Methods

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