Gamma-limits of convolution functionals

Luca Lussardi

doi:10.1051/cocv/2012018

Gamma-limits of convolution functionals

Luca Lussardi

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

1 Citazioni (Scopus)

Abstract

We compute the Gamma-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 Gamma-limit, we obtain free discontinuity functionals with linear growth and with anisotropic surface energy density.

Lingua originale	English
pagine (da-a)	486-515
Numero di pagine	30
Rivista	ESAIM. COCV
Volume	19
DOI	https://doi.org/10.1051/cocv/2012018
Stato di pubblicazione	Pubblicato - 2013
Pubblicato esternamente	Sì

Keywords

Gamma-convergence
convolution functionals

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10.1051/cocv/2012018

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title = "Gamma-limits of convolution functionals",

abstract = "We compute the Gamma-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 Gamma-limit, we obtain free discontinuity functionals with linear growth and with anisotropic surface energy density.",

keywords = "Gamma-convergence, convolution functionals, Gamma-convergence, convolution functionals",

author = "Luca Lussardi",

year = "2013",

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language = "English",

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PY - 2013

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AB - We compute the Gamma-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 Gamma-limit, we obtain free discontinuity functionals with linear growth and with anisotropic surface energy density.

KW - Gamma-convergence

KW - convolution functionals

KW - Gamma-convergence

KW - convolution functionals

UR - http://hdl.handle.net/10807/43508

U2 - 10.1051/cocv/2012018

DO - 10.1051/cocv/2012018

M3 - Article

SN - 1292-8119

VL - 19

SP - 486

EP - 515

JO - ESAIM. COCV

JF - ESAIM. COCV

ER -

Gamma-limits of convolution functionals

Abstract

Keywords

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