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Non-local functionals, total variation, and Gamma-convergence with respect to area-strict convergence
Panu Lahti, Zhuolin Li
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 establi…
Lusin approximation for functions of bounded variation
Panu Lahti, Khanh Nguyen
We prove a Lusin approximation of functions of bounded variation. If is a function of bounded variation on an open set , where is a given complete doubl…
Existence and uniqueness of limits at infinity for bounded variation functions
Panu Lahti, Khanh Nguyen
In this paper, we study the existence of limits at infinity along almost every infinite curve for the upper and lower approximate limits of bounded variation functions on complete…
A sharp lower bound for a class of non-local approximations of the total variation
Panu Lahti
We study a class of non-local functionals that was introduced by Brezis-Seeger-Van Schaftingen-Yung (2022), and can be used to characterize functions of bounded variation. We give…