Non-local functionals, total variation, and Gamma-convergence with respect to area-strict convergence

2025/02/10 by Lahti, Panu, Li, Zhuolin
#26A46 #26B30 #49J45 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2502.06613

Abstract

We study a class of non-local functionals that was introduced by Brezis--Seeger--Van Schaftingen--Yung, and can be used to characterize the total variation of functions. We establish the Γ-limit of these functionals with respect to area-strict convergence.

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