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arXiv · 2310.03550

A sharp lower bound for a class of non-local approximations of the total variation

Panu Lahti
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Abstract

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 a new lower bound for the liminf of these functionals, involving the three different parts of the total variation, with sharp coefficients.

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Panu Lahti. 2023-10-05. A sharp lower bound for a class of non-local approximations of the total variation. https://arxiv.org/abs/2310.03550

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