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arXiv · 2502.06613

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

Panu Lahti·Zhuolin Li
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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 $\Gamma$-limit of these functionals with respect to area-strict convergence.

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Panu Lahti, Zhuolin Li. 2025-02-10. Non-local functionals, total variation, and Gamma-convergence with respect to area-strict convergence. https://arxiv.org/abs/2502.06613

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