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math.FA2025
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…
math.FA2025
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…