Γ-limits of convolution functionals

Luca Lussardi; Annibale Magni

ESAIM: Control, Optimisation and Calculus of Variations (2013)

  • Volume: 19, Issue: 2, page 486-515
  • ISSN: 1292-8119

Abstract

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We compute the Γ-limit of a sequence of non-local integral functionals depending on a regularization of the gradient term by means of a convolution kernel. In particular, as Γ-limit, we obtain free discontinuity functionals with linear growth and with anisotropic surface energy density.

How to cite

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Lussardi, Luca, and Magni, Annibale. "Γ-limits of convolution functionals." ESAIM: Control, Optimisation and Calculus of Variations 19.2 (2013): 486-515. <http://eudml.org/doc/272771>.

@article{Lussardi2013,
abstract = {We compute the Γ-limit of a sequence of non-local integral functionals depending on a regularization of the gradient term by means of a convolution kernel. In particular, as Γ-limit, we obtain free discontinuity functionals with linear growth and with anisotropic surface energy density.},
author = {Lussardi, Luca, Magni, Annibale},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {free discontinuities; Γ-convergence; anisotropy; -convergence},
language = {eng},
number = {2},
pages = {486-515},
publisher = {EDP-Sciences},
title = {Γ-limits of convolution functionals},
url = {http://eudml.org/doc/272771},
volume = {19},
year = {2013},
}

TY - JOUR
AU - Lussardi, Luca
AU - Magni, Annibale
TI - Γ-limits of convolution functionals
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 2013
PB - EDP-Sciences
VL - 19
IS - 2
SP - 486
EP - 515
AB - We compute the Γ-limit of a sequence of non-local integral functionals depending on a regularization of the gradient term by means of a convolution kernel. In particular, as Γ-limit, we obtain free discontinuity functionals with linear growth and with anisotropic surface energy density.
LA - eng
KW - free discontinuities; Γ-convergence; anisotropy; -convergence
UR - http://eudml.org/doc/272771
ER -

References

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