Optimal constants for a nonlocal approximation of Sobolev norms and total variation
Author:
Publisher
Mathematical Sciences Publishers
Subject
Applied Mathematics,Numerical Analysis,Analysis
Link
https://msp.org/apde/2020/13-2/apde-v13-n2-p09-s.pdf
Reference20 articles.
1. On the shape factor of interaction laws for a non-local approximation of the Sobolev norm and the total variation
2. On the gap between the Gamma-limit and the pointwise limit for a nonlocal approximation of the total variation
3. A new characterization of Sobolev spaces
4. Lifting, degree, and distributional Jacobian revisited
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1. New estimates for a class of non-local approximations of the total variation;Journal of Functional Analysis;2024-07
2. A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics II;Comptes Rendus. Mathématique;2022-06-22
3. A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I;Revista Matemática Complutense;2022-06-20
4. On the gap between the Gamma-limit and the pointwise limit for a nonlocal approximation of the total variation;Analysis & PDE;2020-03-19
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