Two subtle convex nonlocal approximations of the BV-norm
Brezis, Haim; Nguyen, Hoai-Minh
2016

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Abstract

Inspired by the BBM formula and by work of G. Leoni and D. Spector, we analyze the asymptotic behavior of two sequences of convex nonlocal functionals (Psi(n)(u)) and (Phi(n)(u)) which converge formally to the BV-norm of u. We show that pointwise convergence when u is not smooth can be delicate; by contrast, Gamma-convergence to the BV-norm is a robust and very useful mode of convergence. (c) 2016 Elsevier Ltd. All rights reserved.

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Title Two subtle convex nonlocal approximations of the BV-norm
Author(s) Brezis, Haim ; Nguyen, Hoai-Minh
Published in Nonlinear Analysis-Theory Methods & Applications
Pagination 24
Volume 137
Pages 222-245
Date 2016
Publisher Oxford, Elsevier
ISSN 0362-546X
Keywords
DOI https://doi.org/10.1016/j.na.2016.02.005
Other identifier(s) View record in Web of Science
Laboratories CAMA
Record Appears in Scientific production and competences > SB - School of Basic Sciences > SB Archives > CAMA - Chair of Analysis and Applied Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date 2016-07-19

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